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22292028 = 223211411373
BaseRepresentation
bin101010100001…
…0011000111100
31112221112220200
41111002120330
521201321103
62113443500
7360323223
oct125023074
945845820
1022292028
1111646370
127570590
134806765
142d63cba
151e550a3
hex154263c

22292028 has 72 divisors (see below), whose sum is σ = 63017136. Its totient is φ = 6585600.

The previous prime is 22291999. The next prime is 22292033. The reversal of 22292028 is 82029222.

It is a junction number, because it is equal to n+sod(n) for n = 22291992 and 22292010.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 15550 + ... + 16922.

It is an arithmetic number, because the mean of its divisors is an integer number (875238).

Almost surely, 222292028 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 22292028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31508568).

22292028 is an abundant number, since it is smaller than the sum of its proper divisors (40725108).

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

22292028 is a wasteful number, since it uses less digits than its factorization.

22292028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 22292028 is about 4721.4434233611. The cubic root of 22292028 is about 281.4382964262.

The spelling of 22292028 in words is "twenty-two million, two hundred ninety-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 99 123 132 164 198 246 369 396 451 492 738 902 1353 1373 1476 1804 2706 2746 4059 4119 5412 5492 8118 8238 12357 15103 16236 16476 24714 30206 45309 49428 56293 60412 90618 112586 135927 168879 181236 225172 271854 337758 506637 543708 619223 675516 1013274 1238446 1857669 2026548 2476892 3715338 5573007 7430676 11146014 22292028