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242355660 = 22357156891
BaseRepresentation
bin11100111001000…
…00110111001100
3121220000221110120
432130200313030
5444020340120
640014304540
76001663161
oct1634406714
9556027416
10242355660
11114892438
12691b8150
133b297121
142428a068
1516424140
hexe720dcc

242355660 has 48 divisors (see below), whose sum is σ = 688165632. Its totient is φ = 63716800.

The previous prime is 242355653. The next prime is 242355667. The reversal of 242355660 is 66553242.

242355660 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242355653) and next prime (242355667).

It is not an unprimeable number, because it can be changed into a prime (242355667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24186 + ... + 32705.

It is an arithmetic number, because the mean of its divisors is an integer number (14336784).

Almost surely, 2242355660 is an apocalyptic number.

242355660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242355660 is an abundant number, since it is smaller than the sum of its proper divisors (445809972).

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

242355660 is a wasteful number, since it uses less digits than its factorization.

242355660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56974 (or 56972 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 242355660 is about 15567.7763344673. The cubic root of 242355660 is about 623.4731026395.

The spelling of 242355660 in words is "two hundred forty-two million, three hundred fifty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4260 56891 113782 170673 227564 284455 341346 568910 682692 853365 1137820 1706730 3413460 4039261 8078522 12117783 16157044 20196305 24235566 40392610 48471132 60588915 80785220 121177830 242355660