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22136364 = 22322712269
BaseRepresentation
bin101010001110…
…0011000101100
31112122122101100
41110130120230
521131330424
62110243100
7356104335
oct124343054
945578340
1022136364
111154a418
1274b6490
134780953
142d2328c
151e23dc9
hex151c62c

22136364 has 36 divisors (see below), whose sum is σ = 56187040. Its totient is φ = 7348320.

The previous prime is 22136341. The next prime is 22136369. The reversal of 22136364 is 46363122.

22136364 is a `hidden beast` number, since 2 + 21 + 3 + 636 + 4 = 666.

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

It is a super-2 number, since 2×221363642 = 980037222280992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22136369) 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, 8622 + ... + 10890.

Almost surely, 222136364 is an apocalyptic number.

It is an amenable number.

22136364 is an abundant number, since it is smaller than the sum of its proper divisors (34050676).

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

22136364 is a wasteful number, since it uses less digits than its factorization.

22136364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550 (or 2545 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 22136364 is about 4704.9297550548. The cubic root of 22136364 is about 280.7816763069.

Adding to 22136364 its reverse (46363122), we get a palindrome (68499486).

It can be divided in two parts, 22136 and 364, that added together give a square (22500 = 1502).

The spelling of 22136364 in words is "twenty-two million, one hundred thirty-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 271 542 813 1084 1626 2269 2439 3252 4538 4878 6807 9076 9756 13614 20421 27228 40842 81684 614899 1229798 1844697 2459596 3689394 5534091 7378788 11068182 22136364