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130225000 = 23555209
BaseRepresentation
bin1111100001100…
…01001101101000
3100002001010010011
413300301031220
5231314200000
620531101304
73140615503
oct760611550
9302033104
10130225000
1167565a74
1237741834
1320c97019
141341c13a
15b6752ba
hex7c31368

130225000 has 48 divisors (see below), whose sum is σ = 305253900. Its totient is φ = 52080000.

The previous prime is 130224989. The next prime is 130225001. The reversal of 130225000 is 522031.

It can be written as a sum of positive squares in 6 ways, for example, as 128164 + 130096836 = 358^2 + 11406^2 .

It is not an unprimeable number, because it can be changed into a prime (130225001) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 22396 + ... + 27604.

Almost surely, 2130225000 is an apocalyptic number.

130225000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152626950).

130225000 is an abundant number, since it is smaller than the sum of its proper divisors (175028900).

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

130225000 is an frugal number, since it uses more digits than its factorization.

130225000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5240 (or 5216 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 130225000 is about 11411.6168880663. The cubic root of 130225000 is about 506.8717909823.

Adding to 130225000 its reverse (522031), we get a palindrome (130747031).

The spelling of 130225000 in words is "one hundred thirty million, two hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 5000 5209 6250 10418 12500 20836 25000 26045 41672 52090 104180 130225 208360 260450 520900 651125 1041800 1302250 2604500 3255625 5209000 6511250 13022500 16278125 26045000 32556250 65112500 130225000