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245314400220 = 223251379947867
BaseRepresentation
bin1110010001110111100…
…0001010111111011100
3212110012101022201120200
43210131320022333130
513004400441301340
6304410150543500
723503055666001
oct3443570127734
9773171281520
10245314400220
119504564683a
123b663367b90
131a196400746
14bc323d18a8
1565ab7b8330
hex391de0afdc

245314400220 has 72 divisors (see below), whose sum is σ = 749551958064. Its totient is φ = 64939669248.

The previous prime is 245314400213. The next prime is 245314400231. The reversal of 245314400220 is 22004413542.

245314400220 is a `hidden beast` number, since 2 + 4 + 5 + 31 + 4 + 400 + 220 = 666.

245314400220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4949274 + ... + 4998593.

It is an arithmetic number, because the mean of its divisors is an integer number (10410443862).

Almost surely, 2245314400220 is an apocalyptic number.

245314400220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245314400220 is an abundant number, since it is smaller than the sum of its proper divisors (504237557844).

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

245314400220 is a wasteful number, since it uses less digits than its factorization.

245314400220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9948019 (or 9948014 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 245314400220 its reverse (22004413542), we get a palindrome (267318813762).

The spelling of 245314400220 in words is "two hundred forty-five billion, three hundred fourteen million, four hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 137 180 274 411 548 685 822 1233 1370 1644 2055 2466 2740 4110 4932 6165 8220 12330 24660 9947867 19895734 29843601 39791468 49739335 59687202 89530803 99478670 119374404 149218005 179061606 198957340 298436010 358123212 447654015 596872020 895308030 1362857779 1790616060 2725715558 4088573337 5451431116 6814288895 8177146674 12265720011 13628577790 16354293348 20442866685 24531440022 27257155580 40885733370 49062880044 61328600055 81771466740 122657200110 245314400220