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225715776361320 = 23357268709257573
BaseRepresentation
bin110011010100100110001100…
…101010111001001101101000
31002121012012212112201021120210
4303110212030222321031220
5214041111402222030240
62120020221323421120
765354266232645610
oct6324461452711550
91077165775637523
10225715776361320
1165a135833a3283
12213952909847a0
1398c3ba241733b
143da49b7cc7a40
151b165ba76b780
hexcd498cab9368

225715776361320 has 64 divisors (see below), whose sum is σ = 773882661813120. Its totient is φ = 51592177453824.

The previous prime is 225715776361249. The next prime is 225715776361357. The reversal of 225715776361320 is 23163677517522.

It is a happy number.

It is a super-2 number, since 2×2257157763613202 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134354627947 + ... + 134354629626.

It is an arithmetic number, because the mean of its divisors is an integer number (12091916590830).

Almost surely, 2225715776361320 is an apocalyptic number.

225715776361320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225715776361320 is an abundant number, since it is smaller than the sum of its proper divisors (548166885451800).

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

225715776361320 is a wasteful number, since it uses less digits than its factorization.

225715776361320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268709257594 (or 268709257590 counting only the distinct ones).

The product of its (nonzero) digits is 22226400, while the sum is 57.

The spelling of 225715776361320 in words is "two hundred twenty-five trillion, seven hundred fifteen billion, seven hundred seventy-six million, three hundred sixty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 268709257573 537418515146 806127772719 1074837030292 1343546287865 1612255545438 1880964803011 2149674060584 2687092575730 3224511090876 3761929606022 4030638863595 5374185151460 5642894409033 6449022181752 7523859212044 8061277727190 9404824015055 10748370302920 11285788818066 15047718424088 16122555454380 18809648030110 22571577636132 28214472045165 32245110908760 37619296060220 45143155272264 56428944090330 75238592120440 112857888180660 225715776361320