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242093565 = 32572109793
BaseRepresentation
bin11100110111000…
…00110111111101
3121212112121221100
432123200313331
5443433443230
640004523313
75666522100
oct1633406775
9555477840
10242093565
1111472352a
12690b0539
133b204a3c
142421c737
15163c1660
hexe6e0dfd

242093565 has 36 divisors (see below), whose sum is σ = 488144124. Its totient is φ = 110670336.

The previous prime is 242093563. The next prime is 242093587. The reversal of 242093565 is 565390242.

242093565 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 93 + 565 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 163558521 + 78535044 = 12789^2 + 8862^2 .

It is not a de Polignac number, because 242093565 - 21 = 242093563 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242093563) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52692 + ... + 57101.

It is an arithmetic number, because the mean of its divisors is an integer number (13559559).

Almost surely, 2242093565 is an apocalyptic number.

It is an amenable number.

242093565 is an abundant number, since it is smaller than the sum of its proper divisors (246050559).

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

242093565 is a wasteful number, since it uses less digits than its factorization.

242093565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109818 (or 109808 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 242093565 is about 15559.3561884803. The cubic root of 242093565 is about 623.2482703628.

The spelling of 242093565 in words is "two hundred forty-two million, ninety-three thousand, five hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 109793 329379 548965 768551 988137 1646895 2305653 3842755 4940685 5379857 6916959 11528265 16139571 26899285 34584795 48418713 80697855 242093565