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23331011232 = 2537114922973
BaseRepresentation
bin10101101110101000…
…101111101010100000
32020012222102011122010
4111232220233222200
5340240214324412
614415040312520
71454110215624
oct255650575240
966188364563
1023331011232
119992825071
124631612740
13227a8272b9
1411b4855184
159183e733c
hex56ea2faa0

23331011232 has 96 divisors (see below), whose sum is σ = 62526038400. Its totient is φ = 7615677440.

The previous prime is 23331011203. The next prime is 23331011257. The reversal of 23331011232 is 23211013332.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 23331011199 and 23331011208.

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, 1004098 + ... + 1027070.

It is an arithmetic number, because the mean of its divisors is an integer number (651312900).

Almost surely, 223331011232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23331011232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31263019200).

23331011232 is an abundant number, since it is smaller than the sum of its proper divisors (39195027168).

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

23331011232 is a wasteful number, since it uses less digits than its factorization.

23331011232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23206 (or 23198 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 23331011232 its reverse (23211013332), we get a palindrome (46542024564).

The spelling of 23331011232 in words is "twenty-three billion, three hundred thirty-one million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 149 213 284 298 426 447 568 596 852 894 1136 1192 1704 1788 2272 2384 3408 3576 4768 6816 7152 10579 14304 21158 22973 31737 42316 45946 63474 68919 84632 91892 126948 137838 169264 183784 253896 275676 338528 367568 507792 551352 735136 1015584 1102704 1631083 2205408 3262166 3422977 4893249 6524332 6845954 9786498 10268931 13048664 13691908 19572996 20537862 26097328 27383816 39145992 41075724 52194656 54767632 78291984 82151448 109535264 156583968 164302896 243031367 328605792 486062734 729094101 972125468 1458188202 1944250936 2916376404 3888501872 5832752808 7777003744 11665505616 23331011232