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22427028 = 223213173277
BaseRepresentation
bin101010110001…
…1010110010100
31120012102002200
41111203112110
521220131103
62120404500
7361424631
oct125432624
946172080
1022427028
1111728838
127616730
134853040
142d9b188
151e800a3
hex1563594

22427028 has 72 divisors (see below), whose sum is σ = 61625928. Its totient is φ = 6835968.

The previous prime is 22426993. The next prime is 22427039. The reversal of 22427028 is 82072422.

It can be written as a sum of positive squares in 4 ways, for example, as 1468944 + 20958084 = 1212^2 + 4578^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22426992 and 22427010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80826 + ... + 81102.

Almost surely, 222427028 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 22427028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30812964).

22427028 is an abundant number, since it is smaller than the sum of its proper divisors (39198900).

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

22427028 is a wasteful number, since it uses less digits than its factorization.

22427028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 22427028 is about 4735.7183193260. The cubic root of 22427028 is about 282.0052813256.

The spelling of 22427028 in words is "twenty-two million, four hundred twenty-seven thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 173 234 277 346 468 519 554 692 831 1038 1108 1557 1662 2076 2249 2493 3114 3324 3601 4498 4986 6228 6747 7202 8996 9972 10803 13494 14404 20241 21606 26988 32409 40482 43212 47921 64818 80964 95842 129636 143763 191684 287526 431289 575052 622973 862578 1245946 1725156 1868919 2491892 3737838 5606757 7475676 11213514 22427028