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23290675200 = 215375213
BaseRepresentation
bin10101101100001110…
…111000000000000000
32020010011111220000000
4111230032320000000
5340144403101300
614411040000000
71453110321102
oct255416700000
966104456000
1023290675200
119971a85001
124620000000
132272373820
1411ad355572
15914acac00
hex56c3b8000

23290675200 has 768 divisors, whose sum is σ = 93290383200. Its totient is φ = 5733089280.

The previous prime is 23290675183. The next prime is 23290675201. The reversal of 23290675200 is 257609232.

It is a tau number, because it is divible by the number of its divisors (768).

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 (23290675201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1791590394 + ... + 1791590406.

Almost surely, 223290675200 is an apocalyptic number.

23290675200 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 23290675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46645191600).

23290675200 is an abundant number, since it is smaller than the sum of its proper divisors (69999708000).

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

23290675200 is an frugal number, since it uses more digits than its factorization.

23290675200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 23290675200 in words is "twenty-three billion, two hundred ninety million, six hundred seventy-five thousand, two hundred".