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2166387372 = 2232193167233
BaseRepresentation
bin1000000100100000…
…0111001010101100
312120222102212210100
42001020013022230
513414043343442
6554545111100
7104453663112
oct20110071254
95528385710
102166387372
11a11961996
12505628490
13286a93226
14167a0bab2
15ca2cc84c
hex812072ac

2166387372 has 36 divisors (see below), whose sum is σ = 5764365880. Its totient is φ = 684122112.

The previous prime is 2166387337. The next prime is 2166387389. The reversal of 2166387372 is 2737836612.

2166387372 is a `hidden beast` number, since 2 + 1 + 6 + 638 + 7 + 3 + 7 + 2 = 666.

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

It is a super-2 number, since 2×21663873722 = 9386468491122132768, which contains 22 as substring.

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

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 11 ways as a sum of consecutive naturals, for example, 1582933 + ... + 1584300.

Almost surely, 22166387372 is an apocalyptic number.

It is an amenable number.

2166387372 is an abundant number, since it is smaller than the sum of its proper divisors (3597978508).

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

2166387372 is a wasteful number, since it uses less digits than its factorization.

2166387372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3167262 (or 3167257 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 2166387372 is about 46544.4666098990. The cubic root of 2166387372 is about 1293.9337430551.

The spelling of 2166387372 in words is "two billion, one hundred sixty-six million, three hundred eighty-seven thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 3167233 6334466 9501699 12668932 19003398 28505097 38006796 57010194 60177427 114020388 120354854 180532281 240709708 361064562 541596843 722129124 1083193686 2166387372