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225020898512640 = 283351710710932839
BaseRepresentation
bin110011001010011111000010…
…101110010000111100000000
31002111201210021022110010112000
4303022133002232100330000
5213443220300004401030
62114325101303504000
765253136430461056
oct6312370256207400
91074653238403460
10225020898512640
1165775910a2279a
12212a2683758000
1398734c2207189
143d7d0d8da01d6
151b0349b1e8860
hexcca7c2b90f00

225020898512640 has 1152 divisors, whose sum is σ = 861240086784000. Its totient is φ = 55433049145344.

The previous prime is 225020898512593. The next prime is 225020898512647. The reversal of 225020898512640 is 46215898020522.

225020898512640 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 2 + 0 + 89 + 8 + 512 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×2250208985126403 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225020898512647) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6852229341 + ... + 6852262179.

It is an arithmetic number, because the mean of its divisors is an integer number (747604242000).

Almost surely, 2225020898512640 is an apocalyptic number.

225020898512640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225020898512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430620043392000).

225020898512640 is an abundant number, since it is smaller than the sum of its proper divisors (636219188271360).

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

225020898512640 is a wasteful number, since it uses less digits than its factorization.

225020898512640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33102 (or 33082 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 225020898512640 in words is "two hundred twenty-five trillion, twenty billion, eight hundred ninety-eight million, five hundred twelve thousand, six hundred forty".