Search a number
-
+
21778164 = 2232604949
BaseRepresentation
bin101001100010…
…0111011110100
31111222110000200
41103010323310
521033400124
62054440500
7353053122
oct123047364
944873020
1021778164
1111325291
127363130
1346868b5
142c6c912
151da2bc9
hex14c4ef4

21778164 has 18 divisors (see below), whose sum is σ = 55050450. Its totient is φ = 7259376.

The previous prime is 21778157. The next prime is 21778181. The reversal of 21778164 is 46187712.

It can be written as a sum of positive squares in only one way, i.e., 19873764 + 1904400 = 4458^2 + 1380^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 604949 = 21778164 / (2 + 1 + 7 + 7 + 8 + 1 + 6 + 4).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 302439 + ... + 302510.

Almost surely, 221778164 is an apocalyptic number.

It is an amenable number.

21778164 is an abundant number, since it is smaller than the sum of its proper divisors (33272286).

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

21778164 is a wasteful number, since it uses less digits than its factorization.

21778164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604959 (or 604954 counting only the distinct ones).

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

The square root of 21778164 is about 4666.7080474356. The cubic root of 21778164 is about 279.2589417791.

The spelling of 21778164 in words is "twenty-one million, seven hundred seventy-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 604949 1209898 1814847 2419796 3629694 5444541 7259388 10889082 21778164