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225594989568 = 21034131731397
BaseRepresentation
bin1101001000011010000…
…0100101110000000000
3210120022002202212120000
43102012200211300000
512144004304131233
6251345323320000
722204311525564
oct3220640456000
9716262685500
10225594989568
1187746543743
123787b380000
1318372bb8810
14acc14a96a4
155d054c4d13
hex3486825c00

225594989568 has 880 divisors, whose sum is σ = 794944491264. Its totient is φ = 63063982080.

The previous prime is 225594989563. The next prime is 225594989657. The reversal of 225594989568 is 865989495522.

225594989568 is a `hidden beast` number, since 2 + 2 + 5 + 59 + 4 + 9 + 8 + 9 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 225594989496 and 225594989505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225594989563) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 568249146 + ... + 568249542.

Almost surely, 2225594989568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225594989568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397472245632).

225594989568 is an abundant number, since it is smaller than the sum of its proper divisors (569349501696).

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

225594989568 is a wasteful number, since it uses less digits than its factorization.

225594989568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 463 counting only the distinct ones).

The product of its digits is 559872000, while the sum is 72.

The spelling of 225594989568 in words is "two hundred twenty-five billion, five hundred ninety-four million, nine hundred eighty-nine thousand, five hundred sixty-eight".