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225463121730 = 23457114188169
BaseRepresentation
bin1101000111111010100…
…1100011011101000010
3210112221220122021220000
43101332221203131002
512143222024343410
6251324253100430
722201120625340
oct3217651433502
9715856567800
10225463121730
1187689066460
1237843187716
1318351797b02
14acabb80990
155ce8b27dc0
hex347ea63742

225463121730 has 320 divisors, whose sum is σ = 774282136320. Its totient is φ = 45706291200.

The previous prime is 225463121693. The next prime is 225463121731. The reversal of 225463121730 is 37121364522.

225463121730 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 631 + 2 + 17 + 3 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (225463121731) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2513086 + ... + 2601254.

It is an arithmetic number, because the mean of its divisors is an integer number (2419631676).

Almost surely, 2225463121730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225463121730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387141068160).

225463121730 is an abundant number, since it is smaller than the sum of its proper divisors (548819014590).

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

225463121730 is a wasteful number, since it uses less digits than its factorization.

225463121730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88247 (or 88238 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 225463121730 in words is "two hundred twenty-five billion, four hundred sixty-three million, one hundred twenty-one thousand, seven hundred thirty".