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242155704 = 23374333521
BaseRepresentation
bin11100110111100…
…00000010111000
3121212122210011210
432123300002320
5443442440304
640010123120
76000201210
oct1633600270
9555583153
10242155704
1111476618a
12691204a0
133b2270cb
1424237240
15163d4c89
hexe6f00b8

242155704 has 64 divisors (see below), whose sum is σ = 707984640. Its totient is φ = 67576320.

The previous prime is 242155699. The next prime is 242155709. The reversal of 242155704 is 407551242.

It is an interprime number because it is at equal distance from previous prime (242155699) and next prime (242155709).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242155709) 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 15 ways as a sum of consecutive naturals, for example, 9537 + ... + 23984.

It is an arithmetic number, because the mean of its divisors is an integer number (11062260).

Almost surely, 2242155704 is an apocalyptic number.

242155704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242155704 is an abundant number, since it is smaller than the sum of its proper divisors (465828936).

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

242155704 is a wasteful number, since it uses less digits than its factorization.

242155704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33580 (or 33576 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 242155704 is about 15561.3528974829. The cubic root of 242155704 is about 623.3015895706.

The spelling of 242155704 in words is "two hundred forty-two million, one hundred fifty-five thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1806 2408 3612 7224 33521 67042 100563 134084 201126 234647 268168 402252 469294 703941 804504 938588 1407882 1441403 1877176 2815764 2882806 4324209 5631528 5765612 8648418 10089821 11531224 17296836 20179642 30269463 34593672 40359284 60538926 80718568 121077852 242155704