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242224664 = 231110127253
BaseRepresentation
bin11100111000000…
…00111000011000
3121212210021202212
432130000320120
5444002142124
640011414252
76000606233
oct1634007030
9555707685
10242224664
11114802a80
1269154388
133b24c606
142425441a
15163ea40e
hexe700e18

242224664 has 32 divisors (see below), whose sum is σ = 500383440. Its totient is φ = 109008000.

The previous prime is 242224657. The next prime is 242224667. The reversal of 242224664 is 466422242.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 242224664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242224667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4739 + ... + 22514.

Almost surely, 2242224664 is an apocalyptic number.

It is an amenable number.

242224664 is an abundant number, since it is smaller than the sum of its proper divisors (258158776).

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

242224664 is a wasteful number, since it uses less digits than its factorization.

242224664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27371 (or 27367 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

The square root of 242224664 is about 15563.5684854085. The cubic root of 242224664 is about 623.3607509523.

The spelling of 242224664 in words is "two hundred forty-two million, two hundred twenty-four thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 88 101 202 404 808 1111 2222 4444 8888 27253 54506 109012 218024 299783 599566 1199132 2398264 2752553 5505106 11010212 22020424 30278083 60556166 121112332 242224664