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242117067 = 3237944417
BaseRepresentation
bin11100110111001…
…10100111001011
3121212120211011210
432123212213023
5443440221232
640005224203
75666650443
oct1633464713
9555524153
10242117067
1111473a155
1269102063
133b21264a
1424227123
15163c85cc
hexe6e69cb

242117067 has 16 divisors (see below), whose sum is σ = 341130240. Its totient is φ = 152435712.

The previous prime is 242117041. The next prime is 242117087. The reversal of 242117067 is 760711242.

It is not a de Polignac number, because 242117067 - 212 = 242112971 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242117087) 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 15 ways as a sum of consecutive naturals, for example, 16758 + ... + 27659.

It is an arithmetic number, because the mean of its divisors is an integer number (21320640).

Almost surely, 2242117067 is an apocalyptic number.

242117067 is a deficient number, since it is larger than the sum of its proper divisors (99013173).

242117067 is a wasteful number, since it uses less digits than its factorization.

242117067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44522.

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 242117067 is about 15560.1114070562. Note that the first 3 decimals coincide. The cubic root of 242117067 is about 623.2684376439.

The spelling of 242117067 in words is "two hundred forty-two million, one hundred seventeen thousand, sixty-seven".

Divisors: 1 3 23 69 79 237 1817 5451 44417 133251 1021591 3064773 3508943 10526829 80705689 242117067