Search a number
-
+
238188819500420 = 22529410670378449
BaseRepresentation
bin110110001010000110100111…
…111110011100110110000100
31011020100121222100220200022012
4312022012213332130312010
5222204441200243003140
62202330233313553352
7101112400664215505
oct6612064776346604
91136317870820265
10238188819500420
1169992347046a38
122286a709875858
13a2ba156199709
1442b65868b6bac
151c80c8790c265
hexd8a1a7f9cd84

238188819500420 has 24 divisors (see below), whose sum is σ = 517444676847000. Its totient is φ = 91990164772352.

The previous prime is 238188819500417. The next prime is 238188819500431. The reversal of 238188819500420 is 24005918881832.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 51661622510404 + 186527196990016 = 7187602^2 + 13657496^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 238188819500420.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205335188645 + ... + 205335189804.

It is an arithmetic number, because the mean of its divisors is an integer number (21560194868625).

Almost surely, 2238188819500420 is an apocalyptic number.

238188819500420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238188819500420 is an abundant number, since it is smaller than the sum of its proper divisors (279255857346580).

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

238188819500420 is a wasteful number, since it uses less digits than its factorization.

238188819500420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410670378487 (or 410670378485 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 59.

The spelling of 238188819500420 in words is "two hundred thirty-eight trillion, one hundred eighty-eight billion, eight hundred nineteen million, five hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 410670378449 821340756898 1642681513796 2053351892245 4106703784490 8213407568980 11909440975021 23818881950042 47637763900084 59547204875105 119094409750210 238188819500420