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242133138 = 23413114973
BaseRepresentation
bin11100110111010…
…10100010010010
3121212121122020000
432123222202102
5443441230023
640005430430
76000045342
oct1633524222
9555548200
10242133138
11114750235
126910b416
133b219a60
142422cd22
15163cd243
hexe6ea892

242133138 has 40 divisors (see below), whose sum is σ = 584297868. Its totient is φ = 74501856.

The previous prime is 242133137. The next prime is 242133163. The reversal of 242133138 is 831331242.

242133138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 238795209 + 3337929 = 15453^2 + 1827^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (242133137) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55381 + ... + 59592.

Almost surely, 2242133138 is an apocalyptic number.

242133138 is an abundant number, since it is smaller than the sum of its proper divisors (342164730).

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

242133138 is a wasteful number, since it uses less digits than its factorization.

242133138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115000 (or 114991 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 242133138 is about 15560.6278150979. The cubic root of 242133138 is about 623.2822275645.

The spelling of 242133138 in words is "two hundred forty-two million, one hundred thirty-three thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 2106 114973 229946 344919 689838 1034757 1494649 2069514 2989298 3104271 4483947 6208542 8967894 9312813 13451841 18625626 26903682 40355523 80711046 121066569 242133138