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22195628 = 22721331281
BaseRepresentation
bin101010010101…
…0110110101100
31112202122200022
41110222312230
521140230003
62111421312
7356442200
oct124526654
945678608
1022195628
111158a9a4
127524838
1347a1910
142d3ab00
151e36738
hex152adac

22195628 has 72 divisors (see below), whose sum is σ = 50408064. Its totient is φ = 8467200.

The previous prime is 22195627. The next prime is 22195633. The reversal of 22195628 is 82659122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22195627) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 78848 + ... + 79128.

It is an arithmetic number, because the mean of its divisors is an integer number (700112).

Almost surely, 222195628 is an apocalyptic number.

22195628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22195628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25204032).

22195628 is an abundant number, since it is smaller than the sum of its proper divisors (28212436).

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

22195628 is a wasteful number, since it uses less digits than its factorization.

22195628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 334 counting only the distinct ones).

The product of its digits is 17280, while the sum is 35.

The square root of 22195628 is about 4711.2236202498. The cubic root of 22195628 is about 281.0320248198.

The spelling of 22195628 in words is "twenty-two million, one hundred ninety-five thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 13 14 26 28 31 49 52 62 91 98 124 182 196 217 281 364 403 434 562 637 806 868 1124 1274 1519 1612 1967 2548 2821 3038 3653 3934 5642 6076 7306 7868 8711 11284 13769 14612 17422 19747 25571 27538 34844 39494 51142 55076 60977 78988 102284 113243 121954 178997 226486 243908 357994 426839 452972 715988 792701 853678 1585402 1707356 3170804 5548907 11097814 22195628