Search a number
-
+
22685056 = 27315717
BaseRepresentation
bin101011010001…
…0010110000000
31120200112001021
41112202112000
521301410211
62130115224
7363551122
oct126422600
946615037
1022685056
1111894689
12771bb14
134913614
143027212
151ed1771
hex15a2580

22685056 has 32 divisors (see below), whose sum is σ = 46658880. Its totient is φ = 10974720.

The previous prime is 22685053. The next prime is 22685057. The reversal of 22685056 is 65058622.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×226850562 = 1029223531446272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22685053) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1110 + ... + 6826.

It is an arithmetic number, because the mean of its divisors is an integer number (1458090).

Almost surely, 222685056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22685056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23329440).

22685056 is an abundant number, since it is smaller than the sum of its proper divisors (23973824).

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

22685056 is an equidigital number, since it uses as much as digits as its factorization.

22685056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5762 (or 5750 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 22685056 is about 4762.8831604397. The cubic root of 22685056 is about 283.0826713485.

The spelling of 22685056 in words is "twenty-two million, six hundred eighty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1984 3968 5717 11434 22868 45736 91472 177227 182944 354454 365888 708908 731776 1417816 2835632 5671264 11342528 22685056