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130042224 = 24321369467
BaseRepresentation
bin1111100000001…
…00100101110000
3100001200211101200
413300010211300
5231242322344
620523131200
73136224564
oct760044560
9301624350
10130042224
1167450714
1237673b00
1320c31a80
14133b16a4
15b63b069
hex7c04970

130042224 has 60 divisors (see below), whose sum is σ = 391938456. Its totient is φ = 40012416.

The previous prime is 130042169. The next prime is 130042267. The reversal of 130042224 is 422240031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130042197 and 130042206.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 32862 + ... + 36605.

Almost surely, 2130042224 is an apocalyptic number.

It is an amenable number.

130042224 is an abundant number, since it is smaller than the sum of its proper divisors (261896232).

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

130042224 is a wasteful number, since it uses less digits than its factorization.

130042224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69494 (or 69485 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 130042224 is about 11403.6057455526. The cubic root of 130042224 is about 506.6345416689.

Adding to 130042224 its reverse (422240031), we get a palindrome (552282255).

The spelling of 130042224 in words is "one hundred thirty million, forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 69467 138934 208401 277868 416802 555736 625203 833604 903071 1111472 1250406 1667208 1806142 2500812 2709213 3334416 3612284 5001624 5418426 7224568 8127639 10003248 10836852 14449136 16255278 21673704 32510556 43347408 65021112 130042224