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14475699225 = 32521326172
BaseRepresentation
bin11010111101101000…
…11010010000011001
31101100211120201020100
431132310122100121
5214121234333400
610352224250013
71021502261511
oct153664322031
941324521210
1014475699225
116159178099
12297ba70909
131499036100
149b4744841
1559ac9b100
hex35ed1a419

14475699225 has 81 divisors (see below), whose sum is σ = 28121009943. Its totient is φ = 7114947840.

The previous prime is 14475699211. The next prime is 14475699241. The reversal of 14475699225 is 52299657441.

It is a happy number.

The square root of 14475699225 is 120315.

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

14475699225 is a `hidden beast` number, since 1 + 4 + 475 + 69 + 92 + 25 = 666.

14475699225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 12665026521 + 1810672704 = 112539^2 + 42552^2 .

It is not a de Polignac number, because 14475699225 - 211 = 14475697177 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 23461117 + ... + 23461733.

Almost surely, 214475699225 is an apocalyptic number.

14475699225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14475699225 is the 120315-th square number.

14475699225 is the 60158-th centered octagonal number.

It is an amenable number.

14475699225 is a deficient number, since it is larger than the sum of its proper divisors (13645310718).

14475699225 is an equidigital number, since it uses as much as digits as its factorization.

14475699225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 638 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 14475699225 in words is "fourteen billion, four hundred seventy-five million, six hundred ninety-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 169 195 225 325 507 585 617 845 975 1521 1851 2535 2925 3085 4225 5553 7605 8021 9255 12675 15425 24063 27765 38025 40105 46275 72189 104273 120315 138825 200525 312819 360945 380689 521365 601575 938457 1142067 1564095 1804725 1903445 2606825 3426201 4692285 4948957 5710335 7820475 9517225 14846871 17131005 23461425 24744785 28551675 44540613 64336441 74234355 85655025 123723925 193009323 222703065 321682205 371171775 579027969 965046615 1113515325 1608411025 2895139845 4825233075 14475699225