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22530141 = 3253149317
BaseRepresentation
bin101010111110…
…0100001011101
31120101122112200
41111330201131
521231431031
62122522113
7362334354
oct125744135
946348480
1022530141
1111799257
127666339
13488ac5a
142dc699b
151ea08e6
hex157c85d

22530141 has 24 divisors (see below), whose sum is σ = 33485400. Its totient is φ = 14591616.

The previous prime is 22530139. The next prime is 22530161. The reversal of 22530141 is 14103522.

It can be written as a sum of positive squares in 4 ways, for example, as 5625 + 22524516 = 75^2 + 4746^2 .

It is not a de Polignac number, because 22530141 - 21 = 22530139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22530161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70915 + ... + 71231.

It is an arithmetic number, because the mean of its divisors is an integer number (1395225).

Almost surely, 222530141 is an apocalyptic number.

It is an amenable number.

22530141 is a deficient number, since it is larger than the sum of its proper divisors (10955259).

22530141 is a wasteful number, since it uses less digits than its factorization.

22530141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 22530141 is about 4746.5925673055. The cubic root of 22530141 is about 282.4368136021.

Adding to 22530141 its reverse (14103522), we get a palindrome (36633663).

The spelling of 22530141 in words is "twenty-two million, five hundred thirty thousand, one hundred forty-one".

Divisors: 1 3 9 53 149 159 317 447 477 951 1341 2853 7897 16801 23691 47233 50403 71073 141699 151209 425097 2503349 7510047 22530141