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22564494 = 235291601
BaseRepresentation
bin101011000010…
…0111010001110
31120110101200000
41112010322032
521234030434
62123345130
7362536461
oct126047216
946411600
1022564494
1111812047
1276821a6
1348a0794
142dd52d8
151eaab99
hex1584e8e

22564494 has 48 divisors (see below), whose sum is σ = 52481520. Its totient is φ = 7257600.

The previous prime is 22564469. The next prime is 22564499. The reversal of 22564494 is 49446522.

22564494 is a `hidden beast` number, since 2 + 2 + 5 + 644 + 9 + 4 = 666.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (22564499) 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, 13294 + ... + 14894.

It is an arithmetic number, because the mean of its divisors is an integer number (1093365).

Almost surely, 222564494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22564494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26240760).

22564494 is an abundant number, since it is smaller than the sum of its proper divisors (29917026).

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

22564494 is a wasteful number, since it uses less digits than its factorization.

22564494 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1635 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 22564494 is about 4750.2098900996. The cubic root of 22564494 is about 282.5802899150.

The spelling of 22564494 in words is "twenty-two million, five hundred sixty-four thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 243 261 486 522 783 1566 1601 2349 3202 4698 4803 7047 9606 14094 14409 28818 43227 46429 86454 92858 129681 139287 259362 278574 389043 417861 778086 835722 1253583 2507166 3760749 7521498 11282247 22564494