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23672023200 = 2534527232269
BaseRepresentation
bin10110000010111101…
…100110100010100000
32021002202002101010000
4112002331212202200
5341440014220300
614512541340000
71465420606620
oct260275464240
967082071100
1023672023200
11a048270441
124707867600
132303384427
141207c62880
15938307c00
hex582f668a0

23672023200 has 720 divisors, whose sum is σ = 102994657920. Its totient is φ = 5173217280.

The previous prime is 23672023187. The next prime is 23672023213. The reversal of 23672023200 is 232027632.

It is an interprime number because it is at equal distance from previous prime (23672023187) and next prime (23672023213).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10431666 + ... + 10433934.

It is an arithmetic number, because the mean of its divisors is an integer number (143048136).

Almost surely, 223672023200 is an apocalyptic number.

23672023200 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 23672023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51497328960).

23672023200 is an abundant number, since it is smaller than the sum of its proper divisors (79322634720).

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

23672023200 is a wasteful number, since it uses less digits than its factorization.

23672023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The spelling of 23672023200 in words is "twenty-three billion, six hundred seventy-two million, twenty-three thousand, two hundred".