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225651974760 = 2332531127915809
BaseRepresentation
bin1101001000100111100…
…1111110001001101000
3210120110002000000112200
43102021321332021220
512144113401143020
6251355120540200
722205603065302
oct3221171761150
9716402000480
10225651974760
1187775725543
1237896481660
131838194b474
14acc8ca0972
155d0a4ce590
hex3489e7e268

225651974760 has 192 divisors, whose sum is σ = 757665792000. Its totient is φ = 58183557120.

The previous prime is 225651974731. The next prime is 225651974767. The reversal of 225651974760 is 67479156522.

It is a happy number.

225651974760 is a `hidden beast` number, since 2 + 2 + 56 + 519 + 7 + 4 + 76 + 0 = 666.

225651974760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 225651974697 and 225651974706.

It is not an unprimeable number, because it can be changed into a prime (225651974767) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 14265736 + ... + 14281544.

It is an arithmetic number, because the mean of its divisors is an integer number (3946176000).

Almost surely, 2225651974760 is an apocalyptic number.

225651974760 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 225651974760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378832896000).

225651974760 is an abundant number, since it is smaller than the sum of its proper divisors (532013817240).

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

225651974760 is a wasteful number, since it uses less digits than its factorization.

225651974760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17136 (or 17129 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 225651974760 in words is "two hundred twenty-five billion, six hundred fifty-one million, nine hundred seventy-four thousand, seven hundred sixty".