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22468016 = 2417243113
BaseRepresentation
bin101010110110…
…1010110110000
31120021111022202
41111231112300
521222434031
62121322332
7361655264
oct125552660
946244282
1022468016
111175660a
1276363a8
1348688ac
142dac0a4
151e8c2cb
hex156d5b0

22468016 has 60 divisors (see below), whose sum is σ = 47737272. Its totient is φ = 10235904.

The previous prime is 22467989. The next prime is 22468027. The reversal of 22468016 is 61086422.

It is a self number, because there is not a number n which added to its sum of digits gives 22468016.

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, 198776 + ... + 198888.

Almost surely, 222468016 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 22468016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23868636).

22468016 is an abundant number, since it is smaller than the sum of its proper divisors (25269256).

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

22468016 is a wasteful number, since it uses less digits than its factorization.

22468016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 22468016 is about 4740.0438816534. The cubic root of 22468016 is about 282.1769759122.

The spelling of 22468016 in words is "twenty-two million, four hundred sixty-eight thousand, sixteen".

Divisors: 1 2 4 8 16 17 34 43 68 86 113 136 172 226 272 289 344 452 578 688 731 904 1156 1462 1808 1921 2312 2924 3842 4624 4859 5848 7684 9718 11696 12427 15368 19436 24854 30736 32657 38872 49708 65314 77744 82603 99416 130628 165206 198832 261256 330412 522512 660824 1321648 1404251 2808502 5617004 11234008 22468016