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22496049 = 34172312
BaseRepresentation
bin101010111010…
…0001100110001
31120022220210000
41111310030301
521224333144
62122100213
7362133102
oct125641461
946286700
1022496049
1111775684
12764a669
134878594
142db83a9
151e95769
hex1574331

22496049 has 45 divisors (see below), whose sum is σ = 36886971. Its totient is φ = 13659840.

The previous prime is 22496041. The next prime is 22496053. The reversal of 22496049 is 94069422.

The square root of 22496049 is 4743.

It is a perfect power (a square), and thus also a powerful number.

22496049 is a `hidden beast` number, since 2 + 2 + 49 + 604 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17514225 + 4981824 = 4185^2 + 2232^2 .

It is not a de Polignac number, because 22496049 - 23 = 22496041 is a prime.

It is a super-2 number, since 2×224960492 = 1012144441220802, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22496041) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 725664 + ... + 725694.

Almost surely, 222496049 is an apocalyptic number.

22496049 is the 4743-rd square number.

22496049 is the 2372-nd centered octagonal number.

It is an amenable number.

22496049 is a deficient number, since it is larger than the sum of its proper divisors (14390922).

22496049 is an equidigital number, since it uses as much as digits as its factorization.

22496049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The cubic root of 22496049 is about 282.2942831043.

Multiplying 22496049 by its sum of digits (36), we get a square (809857764 = 284582).

The spelling of 22496049 in words is "twenty-two million, four hundred ninety-six thousand, forty-nine".

Divisors: 1 3 9 17 27 31 51 81 93 153 279 289 459 527 837 867 961 1377 1581 2511 2601 2883 4743 7803 8649 8959 14229 16337 23409 25947 26877 42687 49011 77841 80631 147033 241893 277729 441099 725679 833187 1323297 2499561 7498683 22496049