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22490892 = 22332943167
BaseRepresentation
bin101010111001…
…0111100001100
31120022122201000
41111302330030
521224202032
62122020300
7362112054
oct125627414
946278630
1022490892
1111771816
127647690
134876128
142db6564
151e93e7c
hex1572f0c

22490892 has 96 divisors (see below), whose sum is σ = 62092800. Its totient is φ = 7027776.

The previous prime is 22490891. The next prime is 22490917. The reversal of 22490892 is 29809422.

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

It is not an unprimeable number, because it can be changed into a prime (22490891) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 134593 + ... + 134759.

It is an arithmetic number, because the mean of its divisors is an integer number (646800).

Almost surely, 222490892 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 22490892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31046400).

22490892 is an abundant number, since it is smaller than the sum of its proper divisors (39601908).

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

22490892 is a wasteful number, since it uses less digits than its factorization.

22490892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 22490892 is about 4742.4563255764. The cubic root of 22490892 is about 282.2727103847.

The spelling of 22490892 in words is "twenty-two million, four hundred ninety thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 43 54 58 86 87 108 116 129 167 172 174 258 261 334 348 387 501 516 522 668 774 783 1002 1044 1161 1247 1503 1548 1566 2004 2322 2494 3006 3132 3741 4509 4644 4843 4988 6012 7181 7482 9018 9686 11223 14362 14529 14964 18036 19372 21543 22446 28724 29058 33669 43086 43587 44892 58116 64629 67338 86172 87174 129258 130761 134676 174348 193887 208249 258516 261522 387774 416498 523044 624747 775548 832996 1249494 1874241 2498988 3748482 5622723 7496964 11245446 22490892