Search a number
-
+
21877164 = 22321735747
BaseRepresentation
bin101001101110…
…1000110101100
31112011110211100
41103131012230
521100032124
62100523100
7353644551
oct123350654
945143740
1021877164
1111392701
1273b0490
1346bc98a
142c96a28
151dc21c9
hex14dd1ac

21877164 has 36 divisors (see below), whose sum is σ = 58555224. Its totient is φ = 6863232.

The previous prime is 21877157. The next prime is 21877169. The reversal of 21877164 is 46177812.

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

It is a super-2 number, since 2×218771642 = 957220609365792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21877169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17262 + ... + 18485.

It is an arithmetic number, because the mean of its divisors is an integer number (1626534).

Almost surely, 221877164 is an apocalyptic number.

It is an amenable number.

21877164 is an abundant number, since it is smaller than the sum of its proper divisors (36678060).

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

21877164 is a wasteful number, since it uses less digits than its factorization.

21877164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35774 (or 35769 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 21877164 is about 4677.3030690773. The cubic root of 21877164 is about 279.6814574748.

The spelling of 21877164 in words is "twenty-one million, eight hundred seventy-seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 35747 71494 107241 142988 214482 321723 428964 607699 643446 1215398 1286892 1823097 2430796 3646194 5469291 7292388 10938582 21877164