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130932225 = 3252581921
BaseRepresentation
bin1111100110111…
…01111000000001
3100010101001020200
413303131320001
5232004312400
620554155413
73146622414
oct763357001
9303331220
10130932225
11679a9356
1237a22b69
1321183bb8
1413563b7b
15b764b00
hex7cdde01

130932225 has 18 divisors (see below), whose sum is σ = 234514566. Its totient is φ = 69830400.

The previous prime is 130932199. The next prime is 130932227. The reversal of 130932225 is 522239031.

It can be written as a sum of positive squares in 3 ways, for example, as 22439169 + 108493056 = 4737^2 + 10416^2 .

It is not a de Polignac number, because 130932225 - 218 = 130670081 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (130932227) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 290736 + ... + 291185.

It is an arithmetic number, because the mean of its divisors is an integer number (13028587).

Almost surely, 2130932225 is an apocalyptic number.

130932225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130932225 is a deficient number, since it is larger than the sum of its proper divisors (103582341).

130932225 is a wasteful number, since it uses less digits than its factorization.

130932225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581937 (or 581929 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 130932225 is about 11442.5619945884. The cubic root of 130932225 is about 507.7877068290.

The spelling of 130932225 in words is "one hundred thirty million, nine hundred thirty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 581921 1745763 2909605 5237289 8728815 14548025 26186445 43644075 130932225