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225642012211225 = 52433171925934381
BaseRepresentation
bin110011010011100001011111…
…111110111111100000011001
31002120221011110210110012111201
4303103201133332333200121
5214033404320111224400
62115522302005554201
765346045261011461
oct6323413776774031
91076834423405451
10225642012211225
1165995270466565
1221382b25415961
1398b9c481a814c
143da11bb3d2ba1
151b146ee97206a
hexcd385ffbf819

225642012211225 has 48 divisors (see below), whose sum is σ = 287229411944640. Its totient is φ = 175745180217600.

The previous prime is 225642012211169. The next prime is 225642012211237. The reversal of 225642012211225 is 522112210246522.

It is a happy number.

It is not a de Polignac number, because 225642012211225 - 217 = 225642012080153 is a prime.

It is a super-2 number, since 2×2256420122112252 (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 (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6562968535 + ... + 6563002915.

It is an arithmetic number, because the mean of its divisors is an integer number (5983946082180).

Almost surely, 2225642012211225 is an apocalyptic number.

225642012211225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

225642012211225 is a deficient number, since it is larger than the sum of its proper divisors (61587399733415).

225642012211225 is a wasteful number, since it uses less digits than its factorization.

225642012211225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54010 (or 54005 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

Adding to 225642012211225 its reverse (522112210246522), we get a palindrome (747754222457747).

The spelling of 225642012211225 in words is "two hundred twenty-five trillion, six hundred forty-two billion, twelve million, two hundred eleven thousand, two hundred twenty-five".

Divisors: 1 5 25 43 215 317 1075 1585 7925 13631 19259 34381 68155 96295 171905 340775 481475 828137 859525 1478383 4140685 6105103 7391915 10898777 20703425 30525515 36959575 54493885 152627575 262519429 272469425 468647411 662143679 1312597145 2343237055 3310718395 6562985725 11716185275 16553591975 28472178197 142360890985 209899546243 711804454925 1049497731215 5247488656075 9025680488449 45128402442245 225642012211225