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13788225 = 345211619
BaseRepresentation
bin110100100110…
…010001000001
3221221111220000
4310212101001
512012210400
61211310213
7225124623
oct64462101
927844800
1013788225
117868330
12474b369
132b19c19
141b8cc13
151325600
hexd26441

13788225 has 60 divisors (see below), whose sum is σ = 27907440. Its totient is φ = 6674400.

The previous prime is 13788221. The next prime is 13788233. The reversal of 13788225 is 52288731.

It is not a de Polignac number, because 13788225 - 22 = 13788221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13788225.

It is not an unprimeable number, because it can be changed into a prime (13788221) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 21966 + ... + 22584.

It is an arithmetic number, because the mean of its divisors is an integer number (465124).

Almost surely, 213788225 is an apocalyptic number.

13788225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13788225 is the 1857-th decagonal number.

It is an amenable number.

13788225 is an abundant number, since it is smaller than the sum of its proper divisors (14119215).

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

13788225 is a wasteful number, since it uses less digits than its factorization.

13788225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 638 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 13788225 is about 3713.2499242577. The cubic root of 13788225 is about 239.7927899014.

The spelling of 13788225 in words is "thirteen million, seven hundred eighty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 135 165 225 275 297 405 495 619 675 825 891 1485 1857 2025 2475 3095 4455 5571 6809 7425 9285 15475 16713 20427 22275 27855 34045 46425 50139 61281 83565 102135 139275 170225 183843 250695 306405 417825 510675 551529 919215 1253475 1532025 2757645 4596075 13788225