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22149441 = 327333713
BaseRepresentation
bin101010001111…
…1100101000001
31112200022022200
41110133211001
521132240231
62110423413
7356160426
oct124374501
945608280
1022149441
1111559226
127501b69
1347868a2
142d27d4d
151e27be6
hex151f941

22149441 has 12 divisors (see below), whose sum is σ = 32432868. Its totient is φ = 14563584.

The previous prime is 22149433. The next prime is 22149451. The reversal of 22149441 is 14494122.

It is a happy number.

22149441 is a `hidden beast` number, since 2 + 214 + 9 + 441 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7403841 + 14745600 = 2721^2 + 3840^2 .

It is not a de Polignac number, because 22149441 - 23 = 22149433 is a prime.

It is a super-2 number, since 2×221494412 = 981195473224962, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22149431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16200 + ... + 17513.

It is an arithmetic number, because the mean of its divisors is an integer number (2702739).

Almost surely, 222149441 is an apocalyptic number.

It is an amenable number.

22149441 is a deficient number, since it is larger than the sum of its proper divisors (10283427).

22149441 is a wasteful number, since it uses less digits than its factorization.

22149441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33792 (or 33789 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 22149441 is about 4706.3192624385. The cubic root of 22149441 is about 280.8369557736.

The spelling of 22149441 in words is "twenty-two million, one hundred forty-nine thousand, four hundred forty-one".

Divisors: 1 3 9 73 219 657 33713 101139 303417 2461049 7383147 22149441