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23250885840 = 243357132337139
BaseRepresentation
bin10101101001110111…
…000101110011010000
32020000101122101021000
4111221313011303100
5340104211321330
614403055102000
71452115161120
oct255167056320
966011571230
1023250885840
119951578736
12460a811900
132267051b20
1411a7d58c80
1591136b560
hex569dc5cd0

23250885840 has 1280 divisors, whose sum is σ = 106393190400. Its totient is φ = 4532723712.

The previous prime is 23250885829. The next prime is 23250885841. The reversal of 23250885840 is 4858805232.

23250885840 is a `hidden beast` number, since 23 + 2 + 508 + 85 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23250885841) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 167272491 + ... + 167272629.

It is an arithmetic number, because the mean of its divisors is an integer number (83119680).

Almost surely, 223250885840 is an apocalyptic number.

23250885840 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 23250885840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53196595200).

23250885840 is an abundant number, since it is smaller than the sum of its proper divisors (83142304560).

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

23250885840 is a wasteful number, since it uses less digits than its factorization.

23250885840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 23250885840 in words is "twenty-three billion, two hundred fifty million, eight hundred eighty-five thousand, eight hundred forty".