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242164476 = 223243156437
BaseRepresentation
bin11100110111100…
…10001011111100
3121212200020012200
432123302023330
5443443230401
640010231500
76000235611
oct1633621374
9555606180
10242164476
11114771834
1269125590
133b22b0b8
142423a508
15163d7686
hexe6f22fc

242164476 has 36 divisors (see below), whose sum is σ = 626377752. Its totient is φ = 78843744.

The previous prime is 242164463. The next prime is 242164499. The reversal of 242164476 is 674461242.

242164476 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 644 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 242164476.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 76671 + ... + 79766.

It is an arithmetic number, because the mean of its divisors is an integer number (17399382).

Almost surely, 2242164476 is an apocalyptic number.

It is an amenable number.

242164476 is an abundant number, since it is smaller than the sum of its proper divisors (384213276).

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

242164476 is a wasteful number, since it uses less digits than its factorization.

242164476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156490 (or 156485 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 242164476 is about 15561.6347470309. The cubic root of 242164476 is about 623.3091157688.

The spelling of 242164476 in words is "two hundred forty-two million, one hundred sixty-four thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 156437 312874 469311 625748 938622 1407933 1877244 2815866 5631732 6726791 13453582 20180373 26907164 40360746 60541119 80721492 121082238 242164476