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23123230400 = 265252127739
BaseRepresentation
bin10101100010010000…
…000111111011000000
32012200111102210220202
4111202100013323000
5334324021333100
614342255024332
71446005133614
oct254220077300
965614383822
1023123230400
119896508276
124593b0b0a8
13224677756a
141195009344
159050527d5
hex562407ec0

23123230400 has 84 divisors (see below), whose sum is σ = 57008862360. Its totient is φ = 9231206400.

The previous prime is 23123230397. The next prime is 23123230409. The reversal of 23123230400 is 403232132.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (23123230409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 819731 + ... + 847469.

Almost surely, 223123230400 is an apocalyptic number.

23123230400 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 23123230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28504431180).

23123230400 is an abundant number, since it is smaller than the sum of its proper divisors (33885631960).

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

23123230400 is a wasteful number, since it uses less digits than its factorization.

23123230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28282 (or 28267 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 23123230400 its reverse (403232132), we get a palindrome (23526462532).

The spelling of 23123230400 in words is "twenty-three billion, one hundred twenty-three million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 521 800 1042 1600 2084 2605 4168 5210 8336 10420 13025 16672 20840 26050 27739 33344 41680 52100 55478 83360 104200 110956 138695 166720 208400 221912 277390 416800 443824 554780 693475 833600 887648 1109560 1386950 1775296 2219120 2773900 4438240 5547800 8876480 11095600 14452019 22191200 28904038 44382400 57808076 72260095 115616152 144520190 231232304 289040380 361300475 462464608 578080760 722600950 924929216 1156161520 1445201900 2312323040 2890403800 4624646080 5780807600 11561615200 23123230400