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238142817 = 321117141499
BaseRepresentation
bin11100011000111…
…00010101100001
3121121002220112100
432030130111201
5441431032232
635344121013
75621115633
oct1614342541
9547086470
10238142817
11112475250
1267906169
133a450713
14238b0a53
1515d90c7c
hexe31c561

238142817 has 24 divisors (see below), whose sum is σ = 397332000. Its totient is φ = 135838080.

The previous prime is 238142813. The next prime is 238142819. The reversal of 238142817 is 718241832.

It is not a de Polignac number, because 238142817 - 22 = 238142813 is a prime.

It is not an unprimeable number, because it can be changed into a prime (238142813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69067 + ... + 72432.

It is an arithmetic number, because the mean of its divisors is an integer number (16555500).

Almost surely, 2238142817 is an apocalyptic number.

It is an amenable number.

238142817 is a deficient number, since it is larger than the sum of its proper divisors (159189183).

238142817 is a wasteful number, since it uses less digits than its factorization.

238142817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141533 (or 141530 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 238142817 is about 15431.8766519176. The cubic root of 238142817 is about 619.8393765317.

The spelling of 238142817 in words is "two hundred thirty-eight million, one hundred forty-two thousand, eight hundred seventeen".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 141499 424497 1273491 1556489 2405483 4669467 7216449 14008401 21649347 26460313 79380939 238142817