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22742541 = 3219313093
BaseRepresentation
bin101011011000…
…0011000001101
31120210102220100
41112300120031
521310230131
62131241313
7364210533
oct126603015
946712810
1022742541
1111923898
127749239
134933833
143040153
151ee37e6
hex15b060d

22742541 has 12 divisors (see below), whose sum is σ = 33023068. Its totient is φ = 15081984.

The previous prime is 22742539. The next prime is 22742557. The reversal of 22742541 is 14524722.

It can be written as a sum of positive squares in 2 ways, for example, as 13616100 + 9126441 = 3690^2 + 3021^2 .

It is not a de Polignac number, because 22742541 - 21 = 22742539 is a prime.

It is a super-2 number, since 2×227425412 = 1034446342273362, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22742341) 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, 4810 + ... + 8283.

Almost surely, 222742541 is an apocalyptic number.

It is an amenable number.

22742541 is a deficient number, since it is larger than the sum of its proper divisors (10280527).

22742541 is a wasteful number, since it uses less digits than its factorization.

22742541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13292 (or 13289 counting only the distinct ones).

The product of its digits is 4480, while the sum is 27.

The square root of 22742541 is about 4768.9140273232. The cubic root of 22742541 is about 283.3215845955.

The spelling of 22742541 in words is "twenty-two million, seven hundred forty-two thousand, five hundred forty-one".

Divisors: 1 3 9 193 579 1737 13093 39279 117837 2526949 7580847 22742541