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23254212400 = 245268718461
BaseRepresentation
bin10101101010000011…
…110001111100110000
32020000121220101102221
4111222003301330300
5340111034244100
614403254250424
71452155354416
oct255203617460
966017811387
1023254212400
11995343aa61
12460b956a14
132267947cc3
1411a85832b6
159117c701a
hex56a0f1f30

23254212400 has 60 divisors (see below), whose sum is σ = 55882980304. Its totient is φ = 9299232000.

The previous prime is 23254212383. The next prime is 23254212407. The reversal of 23254212400 is 421245232.

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

It is not an unprimeable number, because it can be changed into a prime (23254212407) 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 11 ways as a sum of consecutive naturals, for example, 2744170 + ... + 2752630.

Almost surely, 223254212400 is an apocalyptic number.

23254212400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23254212400 is an abundant number, since it is smaller than the sum of its proper divisors (32628767904).

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

23254212400 is a wasteful number, since it uses less digits than its factorization.

23254212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15350 (or 15339 counting only the distinct ones).

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

Adding to 23254212400 its reverse (421245232), we get a palindrome (23675457632).

The spelling of 23254212400 in words is "twenty-three billion, two hundred fifty-four million, two hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 6871 8461 13742 16922 27484 33844 34355 42305 54968 67688 68710 84610 109936 135376 137420 169220 171775 211525 274840 338440 343550 423050 549680 676880 687100 846100 1374200 1692200 2748400 3384400 58135531 116271062 232542124 290677655 465084248 581355310 930168496 1162710620 1453388275 2325421240 2906776550 4650842480 5813553100 11627106200 23254212400