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131446225 = 5222932
BaseRepresentation
bin1111101010110…
…11010111010001
3100011100011022201
413311123113101
5232122234400
621013203201
73154163101
oct765332721
9304304281
10131446225
116821a549
1238030501
1321303b41
1413659201
15b81706a
hex7d5b5d1

131446225 has 9 divisors (see below), whose sum is σ = 163064433. Its totient is φ = 105111120.

The previous prime is 131446223. The next prime is 131446247. The reversal of 131446225 is 522644131.

The square root of 131446225 is 11465.

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

It can be written as a sum of positive squares in 4 ways, for example, as 16184529 + 115261696 = 4023^2 + 10736^2 .

It is not a de Polignac number, because 131446225 - 21 = 131446223 is a prime.

It is a super-2 number, since 2×1314462252 = 34556220133501250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131446193 and 131446202.

It is not an unprimeable number, because it can be changed into a prime (131446223) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 56179 + ... + 58471.

Almost surely, 2131446225 is an apocalyptic number.

131446225 is the 11465-th square number.

131446225 is the 5733-rd centered octagonal number.

It is an amenable number.

131446225 is a deficient number, since it is larger than the sum of its proper divisors (31618208).

131446225 is an frugal number, since it uses more digits than its factorization.

131446225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4596 (or 2298 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The cubic root of 131446225 is about 508.4513124590.

The spelling of 131446225 in words is "one hundred thirty-one million, four hundred forty-six thousand, two hundred twenty-five".