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22228272 = 24321114033
BaseRepresentation
bin101010011001…
…0110100110000
31112211022110100
41110302310300
521142301042
62112232400
7356636313
oct124626460
945738410
1022228272
1111602480
12753b700
1347b3731
142d4897a
151e4124c
hex1532d30

22228272 has 60 divisors (see below), whose sum is σ = 67868424. Its totient is φ = 6735360.

The previous prime is 22228249. The next prime is 22228279. The reversal of 22228272 is 27282222.

It is a super-2 number, since 2×222282722 = 988192152211968, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (22228279) 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 11 ways as a sum of consecutive naturals, for example, 5433 + ... + 8600.

Almost surely, 222228272 is an apocalyptic number.

22228272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22228272 is an abundant number, since it is smaller than the sum of its proper divisors (45640152).

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

22228272 is a wasteful number, since it uses less digits than its factorization.

22228272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14058 (or 14049 counting only the distinct ones).

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

The square root of 22228272 is about 4714.6868400775. The cubic root of 22228272 is about 281.1697323534.

It can be divided in two parts, 22228 and 272, that added together give a square (22500 = 1502).

The spelling of 22228272 in words is "twenty-two million, two hundred twenty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 14033 28066 42099 56132 84198 112264 126297 154363 168396 224528 252594 308726 336792 463089 505188 617452 673584 926178 1010376 1234904 1389267 1852356 2020752 2469808 2778534 3704712 5557068 7409424 11114136 22228272