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23013375 = 353711797
BaseRepresentation
bin101011111001…
…0011111111111
31121022012102020
41113302133333
521342412000
62141131223
7366416250
oct127623777
947265366
1023013375
1111a99320
127859b13
1349c9ba8
1430b0b27
152048ba0
hex15f27ff

23013375 has 64 divisors (see below), whose sum is σ = 47803392. Its totient is φ = 9552000.

The previous prime is 23013373. The next prime is 23013379. The reversal of 23013375 is 57331032.

It is not a de Polignac number, because 23013375 - 21 = 23013373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23013373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28477 + ... + 29273.

It is an arithmetic number, because the mean of its divisors is an integer number (746928).

Almost surely, 223013375 is an apocalyptic number.

23013375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23013375 is an abundant number, since it is smaller than the sum of its proper divisors (24790017).

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

23013375 is a wasteful number, since it uses less digits than its factorization.

23013375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 24.

The square root of 23013375 is about 4797.2257607913. The cubic root of 23013375 is about 284.4418129854.

The spelling of 23013375 in words is "twenty-three million, thirteen thousand, three hundred seventy-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 125 165 175 231 275 375 385 525 797 825 875 1155 1375 1925 2391 2625 3985 4125 5579 5775 8767 9625 11955 16737 19925 26301 27895 28875 43835 59775 61369 83685 99625 131505 139475 184107 219175 298875 306845 418425 657525 697375 920535 1095875 1534225 2092125 3287625 4602675 7671125 23013375