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22464225 = 3252717839
BaseRepresentation
bin101010110110…
…0011011100001
31120021022010100
41111230123201
521222323400
62121253013
7361641240
oct125543341
946238110
1022464225
1111753783
127634169
134866c54
142daa957
151e8b100
hex156c6e1

22464225 has 72 divisors (see below), whose sum is σ = 48746880. Its totient is φ = 9653760.

The previous prime is 22464193. The next prime is 22464227. The reversal of 22464225 is 52246422.

22464225 = T390 + T391 + ... + T578.

It is a happy number.

It is not a de Polignac number, because 22464225 - 25 = 22464193 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22464227) 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 71 ways as a sum of consecutive naturals, for example, 26356 + ... + 27194.

It is an arithmetic number, because the mean of its divisors is an integer number (677040).

Almost surely, 222464225 is an apocalyptic number.

22464225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22464225 is an abundant number, since it is smaller than the sum of its proper divisors (26282655).

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

22464225 is a wasteful number, since it uses less digits than its factorization.

22464225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 871 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 22464225 is about 4739.6439739710. The cubic root of 22464225 is about 282.1611045645.

The spelling of 22464225 in words is "twenty-two million, four hundred sixty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 17 21 25 35 45 51 63 75 85 105 119 153 175 225 255 315 357 425 525 595 765 839 1071 1275 1575 1785 2517 2975 3825 4195 5355 5873 7551 8925 12585 14263 17619 20975 26775 29365 37755 42789 52857 62925 71315 88095 99841 128367 146825 188775 213945 264285 299523 356575 440475 499205 641835 898569 1069725 1321425 1497615 2496025 3209175 4492845 7488075 22464225