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164284668 = 223217268439
BaseRepresentation
bin10011100101011…
…00100011111100
3102110010112012100
421302230203330
5314024102133
624145105100
74033253022
oct1162544374
9373115170
10164284668
1184809559
1247028190
1328060a82
1417b66712
15e651e13
hex9cac8fc

164284668 has 36 divisors (see below), whose sum is σ = 439704720. Its totient is φ = 51540096.

The previous prime is 164284661. The next prime is 164284669. The reversal of 164284668 is 866482461.

164284668 is a `hidden beast` number, since 164 + 28 + 466 + 8 = 666.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164284661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133608 + ... + 134831.

It is an arithmetic number, because the mean of its divisors is an integer number (12214020).

Almost surely, 2164284668 is an apocalyptic number.

164284668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

164284668 is an abundant number, since it is smaller than the sum of its proper divisors (275420052).

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

164284668 is a wasteful number, since it uses less digits than its factorization.

164284668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268466 (or 268461 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 164284668 is about 12817.3580741118. The cubic root of 164284668 is about 547.6868893474.

The spelling of 164284668 in words is "one hundred sixty-four million, two hundred eighty-four thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 268439 536878 805317 1073756 1610634 2415951 3221268 4563463 4831902 9126926 9663804 13690389 18253852 27380778 41071167 54761556 82142334 164284668