Search a number
-
+
238612853700 = 22375213234189
BaseRepresentation
bin1101111000111001101…
…1110011001111000100
3211210220100011220000000
43132032123303033010
512402134342304300
6301341153321300
723145022535334
oct3361633631704
9753810156000
10238612853700
119221680a741
123a2b2b66230
1319668ba36c0
14b7983650c4
1563182a4c00
hex378e6f33c4

238612853700 has 1152 divisors, whose sum is σ = 903992140800. Its totient is φ = 54195609600.

The previous prime is 238612853671. The next prime is 238612853701. The reversal of 238612853700 is 7358216832.

238612853700 is a `hidden beast` number, since 2 + 38 + 61 + 28 + 537 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (238612853701) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2681043256 + ... + 2681043344.

It is an arithmetic number, because the mean of its divisors is an integer number (784715400).

Almost surely, 2238612853700 is an apocalyptic number.

238612853700 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 238612853700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451996070400).

238612853700 is an abundant number, since it is smaller than the sum of its proper divisors (665379287100).

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

238612853700 is a wasteful number, since it uses less digits than its factorization.

238612853700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 238612853700 in words is "two hundred thirty-eight billion, six hundred twelve million, eight hundred fifty-three thousand, seven hundred".