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22283264 = 21047463
BaseRepresentation
bin101010100000…
…0010000000000
31112221002220002
41111000100000
521201031024
62113335132
7360255533
oct125002000
945832802
1022283264
111163a823
1275674a8
134802783
142d60a1a
151e526ae
hex1540400

22283264 has 44 divisors (see below), whose sum is σ = 45590784. Its totient is φ = 10881024.

The previous prime is 22283263. The next prime is 22283269. The reversal of 22283264 is 46238222.

Its product of digits (9216) is a multiple of the sum of its prime divisors (512).

It is not an unprimeable number, because it can be changed into a prime (22283263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47897 + ... + 48359.

Almost surely, 222283264 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 22283264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22795392).

22283264 is an abundant number, since it is smaller than the sum of its proper divisors (23307520).

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

22283264 is an equidigital number, since it uses as much as digits as its factorization.

22283264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 512 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

The square root of 22283264 is about 4720.5152261167. The cubic root of 22283264 is about 281.4014095694.

The spelling of 22283264 in words is "twenty-two million, two hundred eighty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 463 512 752 926 1024 1504 1852 3008 3704 6016 7408 12032 14816 21761 24064 29632 43522 48128 59264 87044 118528 174088 237056 348176 474112 696352 1392704 2785408 5570816 11141632 22283264