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242102160 = 24325336253
BaseRepresentation
bin11100110111000…
…10111110010000
3121212120001201200
432123202332100
5443434232120
640005031200
75666556126
oct1633427620
9555501650
10242102160
11114729a33
12690b5500
133b208921
1424221916
15163c3e90
hexe6e2f90

242102160 has 60 divisors (see below), whose sum is σ = 813062172. Its totient is φ = 64560384.

The previous prime is 242102143. The next prime is 242102167. The reversal of 242102160 is 61201242.

242102160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 42614784 + 199487376 = 6528^2 + 14124^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×2421021602 = 117226911753331200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (242102167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167407 + ... + 168846.

Almost surely, 2242102160 is an apocalyptic number.

242102160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242102160 is an abundant number, since it is smaller than the sum of its proper divisors (570960012).

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

242102160 is a wasteful number, since it uses less digits than its factorization.

242102160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336272 (or 336263 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 242102160 is about 15559.6323864030. The cubic root of 242102160 is about 623.2556459623.

The spelling of 242102160 in words is "two hundred forty-two million, one hundred two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 336253 672506 1008759 1345012 1681265 2017518 2690024 3026277 3362530 4035036 5043795 5380048 6052554 6725060 8070072 10087590 12105108 13450120 15131385 16140144 20175180 24210216 26900240 30262770 40350360 48420432 60525540 80700720 121051080 242102160