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242152160 = 2553148821
BaseRepresentation
bin11100110111011…
…11001011100000
3121212122121022112
432123233023200
5443442332120
640010054452
76000154655
oct1633571340
9555577275
10242152160
11114763558
126911a428
133b225603
1424235c2c
15163d3bc5
hexe6ef2e0

242152160 has 48 divisors (see below), whose sum is σ = 590550912. Its totient is φ = 93734400.

The previous prime is 242152159. The next prime is 242152187. The reversal of 242152160 is 61251242.

It is a happy number.

It is a congruent number.

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, 19451 + ... + 29370.

It is an arithmetic number, because the mean of its divisors is an integer number (12303144).

Almost surely, 2242152160 is an apocalyptic number.

242152160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242152160 is an abundant number, since it is smaller than the sum of its proper divisors (348398752).

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

242152160 is a wasteful number, since it uses less digits than its factorization.

242152160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48867 (or 48859 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 242152160 is about 15561.2390252190. The cubic root of 242152160 is about 623.2985488388.

The spelling of 242152160 in words is "two hundred forty-two million, one hundred fifty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 4960 48821 97642 195284 244105 390568 488210 781136 976420 1513451 1562272 1952840 3026902 3905680 6053804 7567255 7811360 12107608 15134510 24215216 30269020 48430432 60538040 121076080 242152160