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238855680 = 2932571481
BaseRepresentation
bin11100011110010…
…10011000000000
3121122110010101200
432033022120000
5442121340210
635411301200
75630145150
oct1617123000
9548403350
10238855680
11112911898
1267baa800
133a64002b
1423a18760
1515e820c0
hexe3ca600

238855680 has 240 divisors, whose sum is σ = 946037664. Its totient is φ = 54558720.

The previous prime is 238855663. The next prime is 238855691. The reversal of 238855680 is 86558832.

It is a happy number.

238855680 is a `hidden beast` number, since 2 + 3 + 8 + 85 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160540 + ... + 162020.

Almost surely, 2238855680 is an apocalyptic number.

238855680 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 238855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473018832).

238855680 is an abundant number, since it is smaller than the sum of its proper divisors (707181984).

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

238855680 is a wasteful number, since it uses less digits than its factorization.

238855680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 238855680 is about 15454.9564865127. The cubic root of 238855680 is about 620.4572416184.

The spelling of 238855680 in words is "two hundred thirty-eight million, eight hundred fifty-five thousand, six hundred eighty".