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22328656 = 247732731
BaseRepresentation
bin101010100101…
…1010101010000
31120000102011021
41111023111100
521204004111
62114325224
7360535060
oct125132520
946012137
1022328656
1111670939
127589814
13481a32c
142d733a0
151e60d71
hex154b550

22328656 has 40 divisors (see below), whose sum is σ = 50137664. Its totient is φ = 9434880.

The previous prime is 22328627. The next prime is 22328659. The reversal of 22328656 is 65682322.

It is a super-3 number, since 3×223286563 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22328659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6811 + ... + 9541.

Almost surely, 222328656 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 22328656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25068832).

22328656 is an abundant number, since it is smaller than the sum of its proper divisors (27809008).

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

22328656 is a wasteful number, since it uses less digits than its factorization.

22328656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819 (or 2813 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 22328656 is about 4725.3207298553. The cubic root of 22328656 is about 281.5923557024.

The spelling of 22328656 in words is "twenty-two million, three hundred twenty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 73 112 146 292 511 584 1022 1168 2044 2731 4088 5462 8176 10924 19117 21848 38234 43696 76468 152936 199363 305872 398726 797452 1395541 1594904 2791082 3189808 5582164 11164328 22328656