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238525560 = 23345713809
BaseRepresentation
bin11100011011110…
…01110001111000
3121121211100120000
432031321301320
5442030304220
635400233000
75624301540
oct1615716170
9547740500
10238525560
11112706869
1267a6b760
133a5559b0
1423970320
1515e19390
hexe379c78

238525560 has 320 divisors, whose sum is σ = 987940800. Its totient is φ = 50264064.

The previous prime is 238525559. The next prime is 238525591. The reversal of 238525560 is 65525832.

It is a happy number.

238525560 is a `hidden beast` number, since 23 + 85 + 2 + 556 + 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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 294436 + ... + 295244.

It is an arithmetic number, because the mean of its divisors is an integer number (3087315).

Almost surely, 2238525560 is an apocalyptic number.

238525560 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 238525560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493970400).

238525560 is an abundant number, since it is smaller than the sum of its proper divisors (749415240).

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

238525560 is a wasteful number, since it uses less digits than its factorization.

238525560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 238525560 is about 15444.2727248647. The cubic root of 238525560 is about 620.1712672880.

The spelling of 238525560 in words is "two hundred thirty-eight million, five hundred twenty-five thousand, five hundred sixty".