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225634302630 = 2325111973373433
BaseRepresentation
bin1101001000100011011…
…0100011101010100110
3210120101211202011221100
43102020312203222212
512144044340141010
6251353250100530
722205266633122
oct3221066435246
9716354664840
10225634302630
1187766755180
123789057a746
131837b0a1799
14acc67c0582
155d08b8d2c0
hex3488da3aa6

225634302630 has 192 divisors, whose sum is σ = 645326180928. Its totient is φ = 54244270080.

The previous prime is 225634302599. The next prime is 225634302637. The reversal of 225634302630 is 36203436522.

225634302630 is a `hidden beast` number, since 2 + 2 + 56 + 343 + 0 + 263 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225634302637) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65723394 + ... + 65726826.

It is an arithmetic number, because the mean of its divisors is an integer number (3361073859).

Almost surely, 2225634302630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225634302630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322663090464).

225634302630 is an abundant number, since it is smaller than the sum of its proper divisors (419691878298).

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

225634302630 is a wasteful number, since it uses less digits than its factorization.

225634302630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3991 (or 3988 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 225634302630 in words is "two hundred twenty-five billion, six hundred thirty-four million, three hundred two thousand, six hundred thirty".