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2323222213120 = 2952359668761
BaseRepresentation
bin100001110011101010110…
…101011011001000000000
322020002122100110112101121
4201303222311123020000
5301030424341304440
64535135030442024
7326563416661564
oct41635265331000
98202570415347
102323222213120
11816300411556
1231630a503314
1313b1044b5c93
1480631c056a4
154067424234a
hex21cead5b200

2323222213120 has 160 divisors (see below), whose sum is σ = 5911000064640. Its totient is φ = 873817866240.

The previous prime is 2323222213093. The next prime is 2323222213157. The reversal of 2323222213120 is 213122223232.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×23232222131202 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3139540 + ... + 3808300.

It is an arithmetic number, because the mean of its divisors is an integer number (36943750404).

Almost surely, 22323222213120 is an apocalyptic number.

2323222213120 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 2323222213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2955500032320).

2323222213120 is an abundant number, since it is smaller than the sum of its proper divisors (3587777851520).

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

2323222213120 is an equidigital number, since it uses as much as digits as its factorization.

2323222213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668866 (or 668850 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 2323222213120 its reverse (213122223232), we get a palindrome (2536344436352).

It can be divided in two parts, 232322 and 2213120, that added together give a palindrome (2445442).

The spelling of 2323222213120 in words is "two trillion, three hundred twenty-three billion, two hundred twenty-two million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 59 64 80 92 115 118 128 160 184 230 236 256 295 320 368 460 472 512 590 640 736 920 944 1180 1280 1357 1472 1840 1888 2360 2560 2714 2944 3680 3776 4720 5428 5888 6785 7360 7552 9440 10856 11776 13570 14720 15104 18880 21712 27140 29440 30208 37760 43424 54280 58880 75520 86848 108560 151040 173696 217120 347392 434240 668761 694784 868480 1337522 1736960 2675044 3343805 3473920 5350088 6687610 10700176 13375220 15381503 21400352 26750440 30763006 39456899 42800704 53500880 61526012 76907515 78913798 85601408 107001760 123052024 153815030 157827596 171202816 197284495 214003520 246104048 307630060 315655192 342405632 394568990 428007040 492208096 615260120 631310384 789137980 856014080 907508677 984416192 1230520240 1262620768 1578275960 1712028160 1815017354 1968832384 2461040480 2525241536 3156551920 3630034708 3937664768 4537543385 4922080960 5050483072 6313103840 7260069416 7875329536 9075086770 9844161920 10100966144 12626207680 14520138832 18150173540 19688323840 20201932288 25252415360 29040277664 36300347080 39376647680 50504830720 58080555328 72600694160 101009661440 116161110656 145201388320 232322221312 290402776640 464644442624 580805553280 1161611106560 2323222213120