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23264230400 = 21052908759
BaseRepresentation
bin10101101010101001…
…111111110000000000
32020001022202100112222
4111222221333300000
5340121120333100
614404253110212
71452336460415
oct255251776000
966038670488
1023264230400
1199590626a4
124613188368
132269a44b08
1411a9a3010c
15912605485
hex56aa7fc00

23264230400 has 66 divisors (see below), whose sum is σ = 57667183320. Its totient is φ = 9305681920.

The previous prime is 23264230399. The next prime is 23264230403. The reversal of 23264230400 is 403246232.

It is a super-2 number, since 2×232642304002 (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 23264230400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23264230403) 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 5 ways as a sum of consecutive naturals, for example, 428780 + ... + 479979.

Almost surely, 223264230400 is an apocalyptic number.

23264230400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23264230400 is an abundant number, since it is smaller than the sum of its proper divisors (34402952920).

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

23264230400 is an equidigital number, since it uses as much as digits as its factorization.

23264230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908789 (or 908766 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 23264230400 its reverse (403246232), we get a palindrome (23667476632).

The spelling of 23264230400 in words is "twenty-three billion, two hundred sixty-four million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2560 3200 5120 6400 12800 25600 908759 1817518 3635036 4543795 7270072 9087590 14540144 18175180 22718975 29080288 36350360 45437950 58160576 72700720 90875900 116321152 145401440 181751800 232642304 290802880 363503600 465284608 581605760 727007200 930569216 1163211520 1454014400 2326423040 2908028800 4652846080 5816057600 11632115200 23264230400