Search a number
-
+
2166904932 = 22317191912927
BaseRepresentation
bin1000000100101000…
…0101100001100100
312121000102011202020
42001022011201210
513414211424212
6555004143140
7104461250043
oct20112054144
95530364666
102166904932
11a12185825
12505837ab0
13286c1498a
14167b0455a
15ca380d8c
hex81285864

2166904932 has 96 divisors (see below), whose sum is σ = 5666734080. Its totient is φ = 640442880.

The previous prime is 2166904931. The next prime is 2166904937. The reversal of 2166904932 is 2394096612.

It is not an unprimeable number, because it can be changed into a prime (2166904931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 738853 + ... + 741779.

It is an arithmetic number, because the mean of its divisors is an integer number (59028480).

Almost surely, 22166904932 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 2166904932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833367040).

2166904932 is an abundant number, since it is smaller than the sum of its proper divisors (3499829148).

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

2166904932 is a wasteful number, since it uses less digits than its factorization.

2166904932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3161 (or 3159 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 2166904932 is about 46550.0261224417. The cubic root of 2166904932 is about 1294.0367771097.

The spelling of 2166904932 in words is "two billion, one hundred sixty-six million, nine hundred four thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 191 204 228 323 382 573 646 764 969 1146 1292 1938 2292 2927 3247 3629 3876 5854 6494 7258 8781 9741 10887 11708 12988 14516 17562 19482 21774 35124 38964 43548 49759 55613 61693 99518 111226 123386 149277 166839 185079 199036 222452 246772 298554 333678 370158 559057 597108 667356 740316 945421 1118114 1677171 1890842 2236228 2836263 3354342 3781684 5672526 6708684 9503969 10622083 11345052 19007938 21244166 28511907 31866249 38015876 42488332 57023814 63732498 114047628 127464996 180575411 361150822 541726233 722301644 1083452466 2166904932