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23210200400 = 245258025501
BaseRepresentation
bin10101100111011011…
…111000110101010000
32012220120002100022212
4111213123320311100
5340013302403100
614355043051252
71451112306512
oct254733706520
965816070285
1023210200400
11993060a102
1245b9070b28
13225b7a82ba
1411a27a7bb2
1590c9d1635
hex5676f8d50

23210200400 has 30 divisors (see below), whose sum is σ = 55762507422. Its totient is φ = 9284080000.

The previous prime is 23210200379. The next prime is 23210200411. The reversal of 23210200400 is 400201232.

It can be written as a sum of positive squares in 3 ways, for example, as 287296 + 23209913104 = 536^2 + 152348^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29012351 + ... + 29013150.

Almost surely, 223210200400 is an apocalyptic number.

23210200400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23210200400 is an abundant number, since it is smaller than the sum of its proper divisors (32552307022).

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

23210200400 is a wasteful number, since it uses less digits than its factorization.

23210200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58025519 (or 58025508 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 23210200400 its reverse (400201232), we get a palindrome (23610401632).

The spelling of 23210200400 in words is "twenty-three billion, two hundred ten million, two hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 58025501 116051002 232102004 290127505 464204008 580255010 928408016 1160510020 1450637525 2321020040 2901275050 4642040080 5802550100 11605100200 23210200400