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239230080 = 27325411013
BaseRepresentation
bin11100100001001…
…01110010000000
3121200011010222100
432100211302000
5442220330310
635423310400
75633264535
oct1620456200
9550133870
10239230080
11113048111
126814b400
133a74157b
1423ab4d8c
1516007ec0
hexe425c80

239230080 has 192 divisors, whose sum is σ = 847075320. Its totient is φ = 62177280.

The previous prime is 239230037. The next prime is 239230093. The reversal of 239230080 is 80032932.

It can be written as a sum of positive squares in 4 ways, for example, as 46131264 + 193098816 = 6792^2 + 13896^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235654 + ... + 236666.

Almost surely, 2239230080 is an apocalyptic number.

239230080 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 239230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423537660).

239230080 is an abundant number, since it is smaller than the sum of its proper divisors (607845240).

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

239230080 is a wasteful number, since it uses less digits than its factorization.

239230080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 239230080 is about 15467.0643627031. The cubic root of 239230080 is about 620.7812558552.

The spelling of 239230080 in words is "two hundred thirty-nine million, two hundred thirty thousand, eighty".