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225397760 = 2105719331
BaseRepresentation
bin11010110111101…
…00110000000000
3120201010101121012
431123310300000
5430200212020
634211020052
75404564220
oct1533646000
9521111535
10225397760
1110625a745
126359a628
133790a573
1421d14080
1514bc47c5
hexd6f4c00

225397760 has 176 divisors, whose sum is σ = 652419840. Its totient is φ = 72990720.

The previous prime is 225397727. The next prime is 225397771. The reversal of 225397760 is 67793522.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 680795 + ... + 681125.

Almost surely, 2225397760 is an apocalyptic number.

225397760 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 225397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326209920).

225397760 is an abundant number, since it is smaller than the sum of its proper divisors (427022080).

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

225397760 is a wasteful number, since it uses less digits than its factorization.

225397760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 41.

The square root of 225397760 is about 15013.2528120990. The cubic root of 225397760 is about 608.5783969587.

The spelling of 225397760 in words is "two hundred twenty-five million, three hundred ninety-seven thousand, seven hundred sixty".