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13801225 = 527432
BaseRepresentation
bin110100101001…
…011100001001
3221222011201111
4310221130021
512013114400
61211450321
7225210544
oct64513411
927864644
1013801225
117877079
1247569a1
132b22b09
141b9385b
1513293ba
hexd29709

13801225 has 9 divisors (see below), whose sum is σ = 17136583. Its totient is φ = 11026120.

The previous prime is 13801213. The next prime is 13801261. The reversal of 13801225 is 52210831.

The square root of 13801225 is 3715.

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

It can be written as a sum of positive squares in only one way, i.e., 4968441 + 8832784 = 2229^2 + 2972^2 .

It is not a de Polignac number, because 13801225 - 27 = 13801097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13801196 and 13801205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18204 + ... + 18946.

Almost surely, 213801225 is an apocalyptic number.

13801225 is the 3715-th square number.

13801225 is the 1858-th centered octagonal number.

It is an amenable number.

13801225 is a deficient number, since it is larger than the sum of its proper divisors (3335358).

13801225 is an frugal number, since it uses more digits than its factorization.

13801225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The cubic root of 13801225 is about 239.8681277852.

The spelling of 13801225 in words is "thirteen million, eight hundred one thousand, two hundred twenty-five".

Divisors: 1 5 25 743 3715 18575 552049 2760245 13801225