Search a number
-
+
22027174164 = 22321932203471
BaseRepresentation
bin10100100000111011…
…000000000100010100
32002212010000101102100
4110200323000010110
5330102424033124
614041422442100
71406565614442
oct244073000424
962763011370
1022027174164
119383846a76
124328a33330
132100677988
1410cd615b92
1588dbea1c9
hex520ec0114

22027174164 has 36 divisors (see below), whose sum is σ = 58610319040. Its totient is φ = 6955949520.

The previous prime is 22027174163. The next prime is 22027174189. The reversal of 22027174164 is 46147172022.

22027174164 is a `hidden beast` number, since 220 + 2 + 7 + 17 + 416 + 4 = 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (22027174163) by changing a digit.

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, 16101052 + ... + 16102419.

Almost surely, 222027174164 is an apocalyptic number.

It is an amenable number.

22027174164 is an abundant number, since it is smaller than the sum of its proper divisors (36583144876).

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

22027174164 is a wasteful number, since it uses less digits than its factorization.

22027174164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32203500 (or 32203495 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

It can be divided in two parts, 2202 and 7174164, that added together give a triangular number (7176366 = T3788).

The spelling of 22027174164 in words is "twenty-two billion, twenty-seven million, one hundred seventy-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 32203471 64406942 96610413 128813884 193220826 289831239 386441652 579662478 611865949 1159324956 1223731898 1835597847 2447463796 3671195694 5506793541 7342391388 11013587082 22027174164