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242157201 = 311131633463
BaseRepresentation
bin11100110111100…
…00011010010001
3121212122212020020
432123300122101
5443443012301
640010134053
76000205446
oct1633603221
9555585206
10242157201
11114767320
1269121329
133b2279b0
14242379cd
15163d5436
hexe6f0691

242157201 has 32 divisors (see below), whose sum is σ = 381760512. Its totient is φ = 134602560.

The previous prime is 242157191. The next prime is 242157203. The reversal of 242157201 is 102751242.

242157201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 242157201 - 25 = 242157169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242157203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68196 + ... + 71658.

It is an arithmetic number, because the mean of its divisors is an integer number (11930016).

Almost surely, 2242157201 is an apocalyptic number.

It is an amenable number.

242157201 is a deficient number, since it is larger than the sum of its proper divisors (139603311).

242157201 is a wasteful number, since it uses less digits than its factorization.

242157201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3653.

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 242157201 is about 15561.4009973395. The cubic root of 242157201 is about 623.3028739791.

The spelling of 242157201 in words is "two hundred forty-two million, one hundred fifty-seven thousand, two hundred one".

Divisors: 1 3 11 13 33 39 143 163 429 489 1793 2119 3463 5379 6357 10389 23309 38093 45019 69927 114279 135057 495209 564469 1485627 1693407 6209159 7338097 18627477 22014291 80719067 242157201