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13225234248 = 2332135532
BaseRepresentation
bin11000101000100100…
…10000111101001000
31021010200121111202200
430110102100331020
5204041124443443
610024154400200
7645506431152
oct142422207510
937120544680
1013225234248
115677333266
122691130060
131329c529c5
148d6639ad2
155260e2dd3
hex314490f48

13225234248 has 36 divisors (see below), whose sum is σ = 35820985785. Its totient is φ = 4408086144.

The previous prime is 13225234207. The next prime is 13225234271. The reversal of 13225234248 is 84243252231.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13225234248 is a `hidden beast` number, since 1 + 3 + 225 + 2 + 3 + 424 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12073174884 + 1152059364 = 109878^2 + 33942^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=81318.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 969040 + ... + 982592.

Almost surely, 213225234248 is an apocalyptic number.

13225234248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13225234248 is an abundant number, since it is smaller than the sum of its proper divisors (22595751537).

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

13225234248 is an frugal number, since it uses more digits than its factorization.

13225234248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27118 (or 13558 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 13225234248 its reverse (84243252231), we get a palindrome (97468486479).

The spelling of 13225234248 in words is "thirteen billion, two hundred twenty-five million, two hundred thirty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 13553 27106 40659 54212 81318 108424 121977 162636 243954 325272 487908 975816 183683809 367367618 551051427 734735236 1102102854 1469470472 1653154281 2204205708 3306308562 4408411416 6612617124 13225234248