Search a number
-
+
22808256 = 263211563
BaseRepresentation
bin101011100000…
…0011011000000
31120220210001020
41113000123000
521314331011
62132505440
7364603242
oct127003300
946823036
1022808256
11119691a9
12777b280
134957713
14305a092
152008006
hex15c06c0

22808256 has 56 divisors (see below), whose sum is σ = 60740544. Its totient is φ = 7553280.

The previous prime is 22808231. The next prime is 22808257. The reversal of 22808256 is 65280822.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (22808257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40231 + ... + 40793.

Almost surely, 222808256 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 22808256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30370272).

22808256 is an abundant number, since it is smaller than the sum of its proper divisors (37932288).

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

22808256 is a wasteful number, since it uses less digits than its factorization.

22808256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 22808256 is about 4775.7989907449. The cubic root of 22808256 is about 283.5942098612.

The spelling of 22808256 in words is "twenty-two million, eight hundred eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 211 422 563 633 844 1126 1266 1688 1689 2252 2532 3376 3378 4504 5064 6752 6756 9008 10128 13504 13512 18016 20256 27024 36032 40512 54048 108096 118793 237586 356379 475172 712758 950344 1425516 1900688 2851032 3801376 5702064 7602752 11404128 22808256