Search a number
-
+
238607775000 = 233555731181
BaseRepresentation
bin1101111000111000100…
…0011011010100011000
3211210212222121212100000
43132032020123110120
512402132042300000
6301340452413000
723144631423540
oct3361610332430
9753788555300
10238607775000
1192213960a71
123a2b1317160
1319667b15b5a
14b797802320
156317b00000
hex378e21b518

238607775000 has 1152 divisors, whose sum is σ = 993656401920. Its totient is φ = 52488000000.

The previous prime is 238607774957. The next prime is 238607775013. The reversal of 238607775000 is 577706832.

238607775000 is a `hidden beast` number, since 2 + 38 + 607 + 7 + 7 + 5 + 0 + 0 + 0 = 666.

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1318274910 + ... + 1318275090.

It is an arithmetic number, because the mean of its divisors is an integer number (862548960).

Almost surely, 2238607775000 is an apocalyptic number.

238607775000 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 238607775000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496828200960).

238607775000 is an abundant number, since it is smaller than the sum of its proper divisors (755048626920).

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

238607775000 is an equidigital number, since it uses as much as digits as its factorization.

238607775000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 238607775000 in words is "two hundred thirty-eight billion, six hundred seven million, seven hundred seventy-five thousand".