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225225603330 = 23571382500221
BaseRepresentation
bin1101000111000001111…
…1011111100100000010
3210112100100201002220020
43101300133133210002
512142230223301310
6251244530154310
722162205020020
oct3216037374402
9715310632806
10225225603330
1187576a88362
1237797722996
1318314505690
14ac883d3710
155cd2d5c170
hex34707df902

225225603330 has 64 divisors (see below), whose sum is σ = 665281790208. Its totient is φ = 47520126720.

The previous prime is 225225603319. The next prime is 225225603341. The reversal of 225225603330 is 33306522522.

It is a happy number.

225225603330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225225603319) and next prime (225225603341).

It is a super-3 number, since 3×2252256033303 (a number of 35 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 225225603291 and 225225603300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41247381 + ... + 41252840.

It is an arithmetic number, because the mean of its divisors is an integer number (10395027972).

Almost surely, 2225225603330 is an apocalyptic number.

225225603330 is an abundant number, since it is smaller than the sum of its proper divisors (440056186878).

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

225225603330 is a wasteful number, since it uses less digits than its factorization.

225225603330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82500251.

The product of its (nonzero) digits is 64800, while the sum is 33.

The spelling of 225225603330 in words is "two hundred twenty-five billion, two hundred twenty-five million, six hundred three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 2730 82500221 165000442 247500663 412501105 495001326 577501547 825002210 1072502873 1155003094 1237503315 1732504641 2145005746 2475006630 2887507735 3217508619 3465009282 5362514365 5775015470 6435017238 7507520111 8662523205 10725028730 15015040222 16087543095 17325046410 22522560333 32175086190 37537600555 45045120666 75075201110 112612801665 225225603330