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223210020330 = 233511499150611
BaseRepresentation
bin1100111111100001011…
…0101001110111101010
3210100010220000212211000
43033320112221313222
512124113231122310
6250312525215430
722061231603523
oct3177026516752
9710126025730
10223210020330
1186732267a90
1237314701576
1318082a6350b
14ab3683d84a
155c15e1c4c0
hex33f85a9dea

223210020330 has 128 divisors (see below), whose sum is σ = 650643840000. Its totient is φ = 54002721600.

The previous prime is 223210020329. The next prime is 223210020359. The reversal of 223210020330 is 33020012322.

It is a happy number.

223210020330 is a `hidden beast` number, since 2 + 232 + 100 + 2 + 0 + 330 = 666.

It is a super-3 number, since 3×2232100203303 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1406725 + ... + 1557335.

It is an arithmetic number, because the mean of its divisors is an integer number (5083155000).

Almost surely, 2223210020330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223210020330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325321920000).

223210020330 is an abundant number, since it is smaller than the sum of its proper divisors (427433819670).

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

223210020330 is a wasteful number, since it uses less digits than its factorization.

223210020330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151137 (or 151131 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 223210020330 its reverse (33020012322), we get a palindrome (256230032652).

The spelling of 223210020330 in words is "two hundred twenty-three billion, two hundred ten million, twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 499 594 990 998 1485 1497 2495 2970 2994 4491 4990 5489 7485 8982 10978 13473 14970 16467 22455 26946 27445 32934 44910 49401 54890 67365 82335 98802 134730 148203 150611 164670 247005 296406 301222 451833 494010 741015 753055 903666 1355499 1482030 1506110 1656721 2259165 2710998 3313442 4066497 4518330 4970163 6777495 8132994 8283605 9940326 13554990 14910489 16567210 20332485 24850815 29820978 40664970 44731467 49701630 74552445 75154889 89462934 149104890 150309778 223657335 225464667 375774445 447314670 450929334 676394001 751548890 826703779 1127323335 1352788002 1653407558 2029182003 2254646670 2480111337 3381970005 4058364006 4133518895 4960222674 6763940010 7440334011 8267037790 10145910015 12400556685 14880668022 20291820030 22321002033 24801113370 37201670055 44642004066 74403340110 111605010165 223210020330