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23237454240 = 2532574111347
BaseRepresentation
bin10101101001000011…
…110110100110100000
32012222110100222120100
4111221003312212200
5340042242013430
614401455142400
71451563050000
oct255103664640
965873328510
1023237454240
119944a34340
124606214a00
13226432b330
1411a6260000
159100b6960
hex5690f69a0

23237454240 has 1440 divisors, whose sum is σ = 110993815296. Its totient is φ = 4362301440.

The previous prime is 23237454209. The next prime is 23237454293. The reversal of 23237454240 is 4245473232.

23237454240 is a `hidden beast` number, since 2 + 3 + 2 + 3 + 74 + 542 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 23237454195 and 23237454204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 494413897 + ... + 494413943.

Almost surely, 223237454240 is an apocalyptic number.

23237454240 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 23237454240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55496907648).

23237454240 is an abundant number, since it is smaller than the sum of its proper divisors (87756361056).

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

23237454240 is a wasteful number, since it uses less digits than its factorization.

23237454240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 36.

The spelling of 23237454240 in words is "twenty-three billion, two hundred thirty-seven million, four hundred fifty-four thousand, two hundred forty".