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23257272192 = 2737211313359
BaseRepresentation
bin10101101010001111…
…011100111110000000
32020000211122211200120
4111222033130332000
5340112330202232
614403444020240
71452223360200
oct255217347600
966024584616
1023257272192
11995513a910
124610991680
13226847992b
1411a8b3c400
15911bcd92c
hex56a3dcf80

23257272192 has 384 divisors, whose sum is σ = 78865747200. Its totient is φ = 6004776960.

The previous prime is 23257272179. The next prime is 23257272211. The reversal of 23257272192 is 29127275232.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64783309 + ... + 64783667.

It is an arithmetic number, because the mean of its divisors is an integer number (205379550).

Almost surely, 223257272192 is an apocalyptic number.

23257272192 is a gapful number since it is divisible by the number (22) 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 23257272192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39432873600).

23257272192 is an abundant number, since it is smaller than the sum of its proper divisors (55608475008).

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

23257272192 is a wasteful number, since it uses less digits than its factorization.

23257272192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 695 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The spelling of 23257272192 in words is "twenty-three billion, two hundred fifty-seven million, two hundred seventy-two thousand, one hundred ninety-two".