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22638825 = 3352113049
BaseRepresentation
bin101011001011…
…1000011101001
31120121011122000
41112113003221
521243420300
62125121213
7363266256
oct126270351
946534560
1022638825
1111862980
1276b9209
1348c8571
14301442d
151ec2c00
hex15970e9

22638825 has 48 divisors (see below), whose sum is σ = 45384000. Its totient is φ = 10972800.

The previous prime is 22638787. The next prime is 22638827. The reversal of 22638825 is 52883622.

It is not a de Polignac number, because 22638825 - 26 = 22638761 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22638825.

It is not an unprimeable number, because it can be changed into a prime (22638827) 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 47 ways as a sum of consecutive naturals, for example, 5901 + ... + 8949.

It is an arithmetic number, because the mean of its divisors is an integer number (945500).

Almost surely, 222638825 is an apocalyptic number.

22638825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22638825 is an abundant number, since it is smaller than the sum of its proper divisors (22745175).

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

22638825 is a wasteful number, since it uses less digits than its factorization.

22638825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3079 (or 3068 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 22638825 is about 4758.0274274115. The cubic root of 22638825 is about 282.8902378304.

The spelling of 22638825 in words is "twenty-two million, six hundred thirty-eight thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 225 275 297 495 675 825 1485 2475 3049 7425 9147 15245 27441 33539 45735 76225 82323 100617 137205 167695 228675 301851 411615 503085 686025 838475 905553 1509255 2058075 2515425 4527765 7546275 22638825