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242184560 = 2455357119
BaseRepresentation
bin11100110111101…
…11000101110000
3121212201020202112
432123313011300
5443444401220
640010504452
76000351302
oct1633670560
9555636675
10242184560
11114785932
1269135128
133b237297
1424243972
15163dd5c5
hexe6f7170

242184560 has 40 divisors (see below), whose sum is σ = 573713280. Its totient is φ = 95044352.

The previous prime is 242184541. The next prime is 242184571. The reversal of 242184560 is 65481242.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2421845602 = 117306722204787200, which contains 22 as substring.

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, 24320 + ... + 32799.

It is an arithmetic number, because the mean of its divisors is an integer number (14342832).

Almost surely, 2242184560 is an apocalyptic number.

242184560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242184560 is an abundant number, since it is smaller than the sum of its proper divisors (331528720).

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

242184560 is a wasteful number, since it uses less digits than its factorization.

242184560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57185 (or 57179 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 242184560 is about 15562.2800386062. The cubic root of 242184560 is about 623.3263467495.

The spelling of 242184560 in words is "two hundred forty-two million, one hundred eighty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 57119 114238 228476 285595 456952 571190 913904 1142380 2284760 3027307 4569520 6054614 12109228 15136535 24218456 30273070 48436912 60546140 121092280 242184560