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14985432225 = 325281612
BaseRepresentation
bin11011111010011001…
…11000110010100001
31102200100201211110100
431331030320302201
5221142232312400
610514553453013
71040232033531
oct157514706241
942610654410
1014985432225
11639a982035
122aa2711169
13154a81837a
14a223114c1
155ca8d8100
hex37d338ca1

14985432225 has 27 divisors (see below), whose sum is σ = 26843863449. Its totient is φ = 7991251200.

The previous prime is 14985432211. The next prime is 14985432233. The reversal of 14985432225 is 52223458941.

The square root of 14985432225 is 122415.

It is a perfect power (a square), and thus also a powerful number.

14985432225 is a `hidden beast` number, since 14 + 98 + 543 + 2 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1096338321 + 13889093904 = 33111^2 + 117852^2 .

It is not a de Polignac number, because 14985432225 - 25 = 14985432193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1832145 + ... + 1840305.

Almost surely, 214985432225 is an apocalyptic number.

14985432225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14985432225 is the 122415-th square number.

14985432225 is the 61208-th centered octagonal number.

It is an amenable number.

14985432225 is a deficient number, since it is larger than the sum of its proper divisors (11858431224).

14985432225 is an frugal number, since it uses more digits than its factorization.

14985432225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16338 (or 8169 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 14985432225 in words is "fourteen billion, nine hundred eighty-five million, four hundred thirty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 8161 24483 40805 73449 122415 204025 367245 612075 1836225 66601921 199805763 333009605 599417289 999028815 1665048025 2997086445 4995144075 14985432225