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22286268 = 22322921347
BaseRepresentation
bin101010100000…
…0111110111100
31112221021000100
41111000332330
521201130033
62113401100
7360300354
oct125007674
945837010
1022286268
1111642004
127569190
134803c54
142d61b64
151e53513
hex1540fbc

22286268 has 36 divisors (see below), whose sum is σ = 58280040. Its totient is φ = 7172256.

The previous prime is 22286233. The next prime is 22286279. The reversal of 22286268 is 86268222.

22286268 is a `hidden beast` number, since 2 + 2 + 28 + 626 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9630 + ... + 11717.

It is an arithmetic number, because the mean of its divisors is an integer number (1618890).

Almost surely, 222286268 is an apocalyptic number.

It is an amenable number.

22286268 is an abundant number, since it is smaller than the sum of its proper divisors (35993772).

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

22286268 is a wasteful number, since it uses less digits than its factorization.

22286268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21386 (or 21381 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 22286268 is about 4720.8334010003. The cubic root of 22286268 is about 281.4140542139.

The spelling of 22286268 in words is "twenty-two million, two hundred eighty-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 21347 42694 64041 85388 128082 192123 256164 384246 619063 768492 1238126 1857189 2476252 3714378 5571567 7428756 11143134 22286268