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242153091 = 33791071061
BaseRepresentation
bin11100110111011…
…11011010000011
3121212122122121000
432123233122003
5443442344331
640010103043
76000160455
oct1633573203
9555578530
10242153091
11114764224
126911aa83
133b225b6b
14242362d5
15163d40e6
hexe6ef683

242153091 has 32 divisors (see below), whose sum is σ = 367027200. Its totient is φ = 157753440.

The previous prime is 242153053. The next prime is 242153101. The reversal of 242153091 is 190351242.

242153091 is a `hidden beast` number, since 2 + 42 + 1 + 530 + 91 = 666.

It is not a de Polignac number, because 242153091 - 214 = 242136707 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (242153291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227701 + ... + 228761.

It is an arithmetic number, because the mean of its divisors is an integer number (11469600).

Almost surely, 2242153091 is an apocalyptic number.

242153091 is a deficient number, since it is larger than the sum of its proper divisors (124874109).

242153091 is a wasteful number, since it uses less digits than its factorization.

242153091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 242153091 is about 15561.2689392607. The cubic root of 242153091 is about 623.2993476344.

The spelling of 242153091 in words is "two hundred forty-two million, one hundred fifty-three thousand, ninety-one".

Divisors: 1 3 9 27 79 107 237 321 711 963 1061 2133 2889 3183 8453 9549 25359 28647 76077 83819 113527 228231 251457 340581 754371 1021743 2263113 3065229 8968633 26905899 80717697 242153091