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23251415232 = 26310110931097
BaseRepresentation
bin10101101001111001…
…000111000011000000
32020000102122021110010
4111221321013003000
5340104330241412
614403114304520
71452122524413
oct255171070300
966012567403
1023251415232
1199518aa451
12460aa28140
1322671a8a86
1411a8055b7a
1591142333c
hex569e470c0

23251415232 has 112 divisors (see below), whose sum is σ = 62242000992. Its totient is φ = 7659724800.

The previous prime is 23251415147. The next prime is 23251415267.

23251415232 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×232514152322 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23251415232.

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, 21194908 + ... + 21196004.

Almost surely, 223251415232 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 23251415232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31121000496).

23251415232 is an abundant number, since it is smaller than the sum of its proper divisors (38990585760).

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

23251415232 is a wasteful number, since it uses less digits than its factorization.

23251415232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2296 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The spelling of 23251415232 in words is "twenty-three billion, two hundred fifty-one million, four hundred fifteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 192 202 303 404 606 808 1093 1097 1212 1616 2186 2194 2424 3232 3279 3291 4372 4388 4848 6464 6558 6582 8744 8776 9696 13116 13164 17488 17552 19392 26232 26328 34976 35104 52464 52656 69952 70208 104928 105312 110393 110797 209856 210624 220786 221594 331179 332391 441572 443188 662358 664782 883144 886376 1199021 1324716 1329564 1766288 1772752 2398042 2649432 2659128 3532576 3545504 3597063 4796084 5298864 5318256 7065152 7091008 7194126 9592168 10597728 10636512 14388252 19184336 21195456 21273024 28776504 38368672 57553008 76737344 115106016 121101121 230212032 242202242 363303363 484404484 726606726 968808968 1453213452 1937617936 2906426904 3875235872 5812853808 7750471744 11625707616 23251415232