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130824225 = 3252783063
BaseRepresentation
bin1111100110000…
…11100000100001
3100010011120002200
413303003200201
5231442333400
620552003413
73145662510
oct763034041
9303146080
10130824225
11679351a4
1237990569
13211469ac
1413536677
15b742b00
hex7cc3821

130824225 has 36 divisors (see below), whose sum is σ = 267798336. Its totient is φ = 59804640.

The previous prime is 130824223. The next prime is 130824227. The reversal of 130824225 is 522428031.

It is an interprime number because it is at equal distance from previous prime (130824223) and next prime (130824227).

It is not a de Polignac number, because 130824225 - 21 = 130824223 is a prime.

It is a super-2 number, since 2×1308242252 = 34229955693701250, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (130824223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39957 + ... + 43106.

Almost surely, 2130824225 is an apocalyptic number.

130824225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130824225 is an abundant number, since it is smaller than the sum of its proper divisors (136974111).

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

130824225 is a wasteful number, since it uses less digits than its factorization.

130824225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83086 (or 83078 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 130824225 is about 11437.8417981715. The cubic root of 130824225 is about 507.6480514771.

The spelling of 130824225 in words is "one hundred thirty million, eight hundred twenty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 525 1575 83063 249189 415315 581441 747567 1245945 1744323 2076575 2907205 3737835 5232969 6229725 8721615 14536025 18689175 26164845 43608075 130824225