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238157136 = 243271911237
BaseRepresentation
bin11100011000111…
…11110101010000
3121121010122011200
432030133311100
5441432012021
635344311200
75621205450
oct1614376520
9547118150
10238157136
11112484a88
1267912500
133a4570a9
14238b5d60
1515d95126
hexe31fd50

238157136 has 120 divisors (see below), whose sum is σ = 766331904. Its totient is φ = 67633920.

The previous prime is 238157119. The next prime is 238157137. The reversal of 238157136 is 631751832.

238157136 is a `hidden beast` number, since 2 + 3 + 81 + 571 + 3 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (30240) is a multiple of the sum of its prime divisors (1440).

It is a self number, because there is not a number n which added to its sum of digits gives 238157136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238157137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191910 + ... + 193146.

Almost surely, 2238157136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238157136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383165952).

238157136 is an abundant number, since it is smaller than the sum of its proper divisors (528174768).

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

238157136 is a wasteful number, since it uses less digits than its factorization.

238157136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1440 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 238157136 is about 15432.3405872214. The cubic root of 238157136 is about 619.8517994722.

The spelling of 238157136 in words is "two hundred thirty-eight million, one hundred fifty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 191 252 336 382 504 573 764 1008 1146 1237 1337 1528 1719 2292 2474 2674 3056 3438 3711 4011 4584 4948 5348 6876 7422 8022 8659 9168 9896 10696 11133 12033 13752 14844 16044 17318 19792 21392 22266 24066 25977 27504 29688 32088 34636 44532 48132 51954 59376 64176 69272 77931 89064 96264 103908 138544 155862 178128 192528 207816 236267 311724 415632 472534 623448 708801 945068 1246896 1417602 1653869 1890136 2126403 2835204 3307738 3780272 4252806 4961607 5670408 6615476 8505612 9923214 11340816 13230952 14884821 17011224 19846428 26461904 29769642 34022448 39692856 59539284 79385712 119078568 238157136