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195580225 = 5227972
BaseRepresentation
bin10111010100001…
…01000101000001
3111122000111122001
423222011011001
5400032031400
631223544001
74563255511
oct1352050501
9448014561
10195580225
11a0444355
12555bb001
133169a659
141bd91841
1512284a6a
hexba85141

195580225 has 9 divisors (see below), whose sum is σ = 242606217. Its totient is φ = 156408240.

The previous prime is 195580219. The next prime is 195580237. The reversal of 195580225 is 522085591.

The square root of 195580225 is 13985.

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 2259009 + 193321216 = 1503^2 + 13904^2 .

It is not a de Polignac number, because 195580225 - 25 = 195580193 is a prime.

It is a super-2 number, since 2×1955802252 = 76503248822101250, which contains 22 as substring.

It is a Duffinian number.

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, 68527 + ... + 71323.

Almost surely, 2195580225 is an apocalyptic number.

195580225 is the 13985-th square number.

195580225 is the 6993-rd centered octagonal number.

It is an amenable number.

195580225 is a deficient number, since it is larger than the sum of its proper divisors (47025992).

195580225 is an frugal number, since it uses more digits than its factorization.

195580225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5604 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 37.

The cubic root of 195580225 is about 580.4635859627.

The spelling of 195580225 in words is "one hundred ninety-five million, five hundred eighty thousand, two hundred twenty-five".

Divisors: 1 5 25 2797 13985 69925 7823209 39116045 195580225