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23122575 = 3252753277
BaseRepresentation
bin101100000110…
…1001010001111
31121111202012200
41120031022033
521404410300
62143332543
7400352520
oct130151217
947452180
1023122575
1112063373
1278b1153
134a377c8
1430dc847
15206b200
hex160d28f

23122575 has 72 divisors (see below), whose sum is σ = 48398688. Its totient is φ = 10333440.

The previous prime is 23122553. The next prime is 23122577. The reversal of 23122575 is 57522132.

It is not a de Polignac number, because 23122575 - 213 = 23114383 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23122577) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83337 + ... + 83613.

It is an arithmetic number, because the mean of its divisors is an integer number (672204).

Almost surely, 223122575 is an apocalyptic number.

23122575 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23122575 is an abundant number, since it is smaller than the sum of its proper divisors (25276113).

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

23122575 is a wasteful number, since it uses less digits than its factorization.

23122575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 345 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 23122575 is about 4808.5938693136. The cubic root of 23122575 is about 284.8910017169.

The spelling of 23122575 in words is "twenty-three million, one hundred twenty-two thousand, five hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 53 63 75 105 159 175 225 265 277 315 371 477 525 795 831 1113 1325 1385 1575 1855 1939 2385 2493 3339 3975 4155 5565 5817 6925 9275 9695 11925 12465 14681 16695 17451 20775 27825 29085 44043 48475 62325 73405 83475 87255 102767 132129 145425 220215 308301 367025 436275 513835 660645 924903 1101075 1541505 2569175 3303225 4624515 7707525 23122575