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22492928 = 28412143
BaseRepresentation
bin101010111001…
…1011100000000
31120022202111102
41111303130000
521224233203
62122033532
7362121023
oct125633400
946282442
1022492928
11117732a7
1276488a8
134877033
142db71ba
151e94888
hex1573700

22492928 has 36 divisors (see below), whose sum is σ = 46014528. Its totient is φ = 10967040.

The previous prime is 22492927. The next prime is 22492933. The reversal of 22492928 is 82929422.

It is a junction number, because it is equal to n+sod(n) for n = 22492891 and 22492900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22492927) 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 3 ways as a sum of consecutive naturals, for example, 9425 + ... + 11567.

Almost surely, 222492928 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 22492928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23007264).

22492928 is an abundant number, since it is smaller than the sum of its proper divisors (23521600).

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

22492928 is an equidigital number, since it uses as much as digits as its factorization.

22492928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200 (or 2186 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 22492928 is about 4742.6709774135. The cubic root of 22492928 is about 282.2812277569.

The spelling of 22492928 in words is "twenty-two million, four hundred ninety-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 656 1312 2143 2624 4286 5248 8572 10496 17144 34288 68576 87863 137152 175726 274304 351452 548608 702904 1405808 2811616 5623232 11246464 22492928