Search a number
-
+
22642496 = 26418629
BaseRepresentation
bin101011001011…
…1111101000000
31120121100122222
41112113331000
521244024441
62125150212
7363313052
oct126277500
946540588
1022642496
1111865708
1276bb368
1348ca136
1430158d2
151ec3d4b
hex1597f40

22642496 has 28 divisors (see below), whose sum is σ = 46032420. Its totient is φ = 11043840.

The previous prime is 22642469. The next prime is 22642507. The reversal of 22642496 is 69424622.

It can be written as a sum of positive squares in 2 ways, for example, as 8202496 + 14440000 = 2864^2 + 3800^2 .

It is a super-2 number, since 2×226424962 = 1025365250220032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1691 + ... + 6938.

It is an arithmetic number, because the mean of its divisors is an integer number (1644015).

Almost surely, 222642496 is an apocalyptic number.

It is an amenable number.

22642496 is an abundant number, since it is smaller than the sum of its proper divisors (23389924).

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

22642496 is an equidigital number, since it uses as much as digits as its factorization.

22642496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8682 (or 8672 counting only the distinct ones).

The product of its digits is 41472, while the sum is 35.

The square root of 22642496 is about 4758.4131808829. The cubic root of 22642496 is about 282.9055276984.

The spelling of 22642496 in words is "twenty-two million, six hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 2624 8629 17258 34516 69032 138064 276128 353789 552256 707578 1415156 2830312 5660624 11321248 22642496