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130298220 = 223451323269
BaseRepresentation
bin1111100010000…
…11000101101100
3100002011211120000
413301003011230
5231324020340
620532424300
73141342123
oct761030554
9302154500
10130298220
1167605a88
1237778090
1320cc1450
141343aaba
15b68bd30
hex7c4316c

130298220 has 240 divisors, whose sum is σ = 461039040. Its totient is φ = 30564864.

The previous prime is 130298191. The next prime is 130298249. The reversal of 130298220 is 22892031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130298191) and next prime (130298249).

It is a super-2 number, since 2×1302982202 = 33955252270336800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 807 × 207 × 780.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 484246 + ... + 484514.

It is an arithmetic number, because the mean of its divisors is an integer number (1920996).

Almost surely, 2130298220 is an apocalyptic number.

130298220 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 130298220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230519520).

130298220 is an abundant number, since it is smaller than the sum of its proper divisors (330740820).

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

130298220 is a wasteful number, since it uses less digits than its factorization.

130298220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 130298220 is about 11414.8245715823. The cubic root of 130298220 is about 506.9667706943.

The spelling of 130298220 in words is "one hundred thirty million, two hundred ninety-eight thousand, two hundred twenty".