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166204296 = 23323789701
BaseRepresentation
bin10011110100000…
…01001110001000
3102120202001102200
421322001032020
5320022014141
624254200200
74055466426
oct1172011610
9376661380
10166204296
11858aa825
12477b3060
132858374b
1418106116
15e8d0ab6
hex9e81388

166204296 has 96 divisors (see below), whose sum is σ = 468163800. Its totient is φ = 53222400.

The previous prime is 166204289. The next prime is 166204303. The reversal of 166204296 is 692402661.

166204296 is a `hidden beast` number, since 1 + 6 + 620 + 4 + 29 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (166204289) and next prime (166204303).

It can be written as a sum of positive squares in 4 ways, for example, as 163481796 + 2722500 = 12786^2 + 1650^2 .

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 166204296.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 236746 + ... + 237446.

Almost surely, 2166204296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166204296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234081900).

166204296 is an abundant number, since it is smaller than the sum of its proper divisors (301959504).

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

166204296 is a wasteful number, since it uses less digits than its factorization.

166204296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 166204296 is about 12892.0245113016. The cubic root of 166204296 is about 549.8118320494.

The spelling of 166204296 in words is "one hundred sixty-six million, two hundred four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 89 111 148 178 222 267 296 333 356 444 534 666 701 712 801 888 1068 1332 1402 1602 2103 2136 2664 2804 3204 3293 4206 5608 6309 6408 6586 8412 9879 12618 13172 16824 19758 25236 25937 26344 29637 39516 50472 51874 59274 62389 77811 79032 103748 118548 124778 155622 187167 207496 233433 237096 249556 311244 374334 466866 499112 561501 622488 748668 933732 1123002 1497336 1867464 2246004 2308393 4492008 4616786 6925179 9233572 13850358 18467144 20775537 27700716 41551074 55401432 83102148 166204296