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238008801 = 31923317921
BaseRepresentation
bin11100010111110…
…11100111100001
3121120212002200210
432023323213201
5441412240201
635341204333
75620020132
oct1613734741
9546762623
10238008801
11112393598
12678606a9
133a404714
1423877c89
1515d661d6
hexe2fb9e1

238008801 has 16 divisors (see below), whose sum is σ = 335499840. Its totient is φ = 149667840.

The previous prime is 238008781. The next prime is 238008833. The reversal of 238008801 is 108800832.

It is not a de Polignac number, because 238008801 - 25 = 238008769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (238000801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4321 + ... + 22241.

It is an arithmetic number, because the mean of its divisors is an integer number (20968740).

Almost surely, 2238008801 is an apocalyptic number.

It is an amenable number.

238008801 is a deficient number, since it is larger than the sum of its proper divisors (97491039).

238008801 is a wasteful number, since it uses less digits than its factorization.

238008801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18176.

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 238008801 is about 15427.5338599531. The cubic root of 238008801 is about 619.7230821973.

The spelling of 238008801 in words is "two hundred thirty-eight million, eight thousand, eight hundred one".

Divisors: 1 3 19 57 233 699 4427 13281 17921 53763 340499 1021497 4175593 12526779 79336267 238008801