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23451402400 = 255229314253
BaseRepresentation
bin10101110101110100…
…000000000010100000
32020112100221200021021
4111311310000002200
5341012024334100
614435020535224
71460101426366
oct256564000240
966470850237
1023451402400
119a447837a8
1246659b1514
13229975a28a
1411c6833636
15923c78a1a
hex575d000a0

23451402400 has 36 divisors (see below), whose sum is σ = 57250738062. Its totient is φ = 9380560640.

The previous prime is 23451402397. The next prime is 23451402413. The reversal of 23451402400 is 420415432.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 18442726416 + 5008675984 = 135804^2 + 70772^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14656327 + ... + 14657926.

Almost surely, 223451402400 is an apocalyptic number.

23451402400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23451402400 is an abundant number, since it is smaller than the sum of its proper divisors (33799335662).

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

23451402400 is a wasteful number, since it uses less digits than its factorization.

23451402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29314273 (or 29314260 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 23451402400 its reverse (420415432), we get a palindrome (23871817832).

The spelling of 23451402400 in words is "twenty-three billion, four hundred fifty-one million, four hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 29314253 58628506 117257012 146571265 234514024 293142530 469028048 586285060 732856325 938056096 1172570120 1465712650 2345140240 2931425300 4690280480 5862850600 11725701200 23451402400