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225311451156 = 223211568968311
BaseRepresentation
bin1101000111010110011…
…0111110100000010100
3210112120100020121222100
43101311212332200110
512142414212414111
6251301234202100
722164266510151
oct3216546764024
9715510217870
10225311451156
1187610493080
1237800423330
13183292326cc
14ac9597d228
155cda668756
hex34759be814

225311451156 has 36 divisors (see below), whose sum is σ = 621313396704. Its totient is φ = 68276197200.

The previous prime is 225311451149. The next prime is 225311451163. The reversal of 225311451156 is 651154113522.

225311451156 is a `hidden beast` number, since 2 + 2 + 53 + 1 + 1 + 451 + 156 = 666.

225311451156 is digitally balanced in base 2 and base 3, because in such bases 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 (225311451149) and next prime (225311451163).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 225311451156.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 284483760 + ... + 284484551.

It is an arithmetic number, because the mean of its divisors is an integer number (17258705464).

Almost surely, 2225311451156 is an apocalyptic number.

It is an amenable number.

225311451156 is an abundant number, since it is smaller than the sum of its proper divisors (396001945548).

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

225311451156 is a wasteful number, since it uses less digits than its factorization.

225311451156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568968332 (or 568968327 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

Adding to 225311451156 its reverse (651154113522), we get a palindrome (876465564678).

The spelling of 225311451156 in words is "two hundred twenty-five billion, three hundred eleven million, four hundred fifty-one thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 568968311 1137936622 1706904933 2275873244 3413809866 5120714799 6258651421 6827619732 10241429598 12517302842 18775954263 20482859196 25034605684 37551908526 56327862789 75103817052 112655725578 225311451156