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223211200010320 = 245191439154965881
BaseRepresentation
bin110010110000001001101000…
…010010010101100001010000
31002021022210010022102222222201
4302300021220102111201100
5213224043014200312240
62110421450520212544
765005322422143034
oct6260115022254120
91067283108388881
10223211200010320
116513837a335835
122104b9ab30a154
1397719588a8202
143d196a05121c4
151ac137eed9d9a
hexcb0268495850

223211200010320 has 160 divisors (see below), whose sum is σ = 547020881280000. Its totient is φ = 84470665605120.

The previous prime is 223211200010299. The next prime is 223211200010327. The reversal of 223211200010320 is 23010002112322.

It is a super-3 number, since 3×2232112000103203 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223211200010327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3388063780 + ... + 3388129660.

It is an arithmetic number, because the mean of its divisors is an integer number (3418880508000).

Almost surely, 2223211200010320 is an apocalyptic number.

223211200010320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223211200010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273510440640000).

223211200010320 is an abundant number, since it is smaller than the sum of its proper divisors (323809681269680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223211200010320 is a wasteful number, since it uses less digits than its factorization.

223211200010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68901 (or 68895 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 223211200010320 its reverse (23010002112322), we get a palindrome (246221202122642).

The spelling of 223211200010320 in words is "two hundred twenty-three trillion, two hundred eleven billion, two hundred million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1439 1520 1549 2878 3098 5756 6196 7195 7745 11512 12392 14390 15490 23024 24784 27341 28780 29431 30980 54682 57560 58862 61960 65881 109364 115120 117724 123920 131762 136705 147155 218728 235448 263524 273410 294310 329405 437456 470896 527048 546820 588620 658810 1054096 1093640 1177240 1251739 1317620 2187280 2229011 2354480 2503478 2635240 4458022 5006956 5270480 6258695 8916044 10013912 11145055 12517390 17832088 20027824 22290110 25034780 35664176 42351209 44580220 50069560 84702418 89160440 94802759 100139120 102049669 169404836 178320880 189605518 204099338 211756045 338809672 379211036 408198676 423512090 474013795 510248345 677619344 758422072 816397352 847024180 948027590 1020496690 1516844144 1632794704 1694048360 1801252421 1896055180 1938943711 2040993380 3388096720 3602504842 3792110360 3877887422 4081986760 7205009684 7584220720 7755774844 8163973520 9006262105 9694718555 14410019368 15511549688 18012524210 19389437110 28820038736 31023099376 36025048420 38778874220 72050096840 77557748440 144100193680 146849473691 155115496880 293698947382 587397894764 734247368455 1174795789528 1468494736910 2349591579056 2790140000129 2936989473820 5580280000258 5873978947640 11160560000516 11747957895280 13950700000645 22321120001032 27901400001290 44642240002064 55802800002580 111605600005160 223211200010320