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22428168 = 2337177853
BaseRepresentation
bin101010110001…
…1101000001000
31120012110122220
41111203220020
521220200133
62120414040
7361431150
oct125435010
946173586
1022428168
1111729684
127617320
134853709
142d9b760
151e805b3
hex1563a08

22428168 has 64 divisors (see below), whose sum is σ = 67858560. Its totient is φ = 6030336.

The previous prime is 22428157. The next prime is 22428173. The reversal of 22428168 is 86182422.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1071 + ... + 6782.

It is an arithmetic number, because the mean of its divisors is an integer number (1060290).

Almost surely, 222428168 is an apocalyptic number.

22428168 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 22428168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33929280).

22428168 is an abundant number, since it is smaller than the sum of its proper divisors (45430392).

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

22428168 is a wasteful number, since it uses less digits than its factorization.

22428168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7886 (or 7882 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 22428168 is about 4735.8386796849. The cubic root of 22428168 is about 282.0100594973.

The spelling of 22428168 in words is "twenty-two million, four hundred twenty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2856 7853 15706 23559 31412 47118 54971 62824 94236 109942 133501 164913 188472 219884 267002 329826 400503 439768 534004 659652 801006 934507 1068008 1319304 1602012 1869014 2803521 3204024 3738028 5607042 7476056 11214084 22428168