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130168220 = 225713371933
BaseRepresentation
bin1111100001000…
…11010110011100
3100001221020020012
413300203112130
5231310340340
620525542352
73140261120
oct760432634
9301836205
10130168220
1167527346
12377149b8
1320c77220
1413405580
15b663565
hex7c2359c

130168220 has 96 divisors (see below), whose sum is σ = 345706368. Its totient is φ = 40061952.

The previous prime is 130168193. The next prime is 130168223. The reversal of 130168220 is 22861031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130168223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66374 + ... + 68306.

It is an arithmetic number, because the mean of its divisors is an integer number (3601108).

Almost surely, 2130168220 is an apocalyptic number.

130168220 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 130168220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172853184).

130168220 is an abundant number, since it is smaller than the sum of its proper divisors (215538148).

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

130168220 is a wasteful number, since it uses less digits than its factorization.

130168220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 130168220 is about 11409.1288010961. The cubic root of 130168220 is about 506.7981124408.

The spelling of 130168220 in words is "one hundred thirty million, one hundred sixty-eight thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 37 52 65 70 74 91 130 140 148 182 185 259 260 364 370 455 481 518 740 910 962 1036 1295 1820 1924 1933 2405 2590 3367 3866 4810 5180 6734 7732 9620 9665 13468 13531 16835 19330 25129 27062 33670 38660 50258 54124 67340 67655 71521 100516 125645 135310 143042 175903 251290 270620 286084 351806 357605 500647 502580 703612 715210 879515 929773 1001294 1430420 1759030 1859546 2002588 2503235 3518060 3719092 4648865 5006470 6508411 9297730 10012940 13016822 18595460 26033644 32542055 65084110 130168220