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23157454320 = 2432571121323127
BaseRepresentation
bin10101100100010010…
…101011010111110000
32012202212211120022100
4111210102223113300
5334411302014240
614345520340400
71446602054040
oct254422532760
965685746270
1023157454320
119903863200
1245a3474700
13225089acc0
141199797720
15908062e30
hex5644ab5f0

23157454320 has 1440 divisors, whose sum is σ = 110648918016. Its totient is φ = 4215214080.

The previous prime is 23157454267. The next prime is 23157454321. The reversal of 23157454320 is 2345475132.

23157454320 is a `hidden beast` number, since 2 + 3 + 1 + 574 + 54 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23157454321) 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 287 ways as a sum of consecutive naturals, for example, 182342097 + ... + 182342223.

Almost surely, 223157454320 is an apocalyptic number.

23157454320 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 23157454320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55324459008).

23157454320 is an abundant number, since it is smaller than the sum of its proper divisors (87491463696).

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

23157454320 is a wasteful number, since it uses less digits than its factorization.

23157454320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 23157454320 in words is "twenty-three billion, one hundred fifty-seven million, four hundred fifty-four thousand, three hundred twenty".