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225848976 = 243832683
BaseRepresentation
bin11010111011000…
…10111010010000
3120201222022112220
431131202322100
5430304131401
634224421040
75411453553
oct1535427220
9521868486
10225848976
11106538751
1263777780
1337a37a62
1421dd069a
1514c63336
hexd762e90

225848976 has 60 divisors (see below), whose sum is σ = 591421968. Its totient is φ = 74267072.

The previous prime is 225848969. The next prime is 225848977. The reversal of 225848976 is 679848522.

225848976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (225848977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 330331 + ... + 331013.

Almost surely, 2225848976 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 225848976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295710984).

225848976 is an abundant number, since it is smaller than the sum of its proper divisors (365572992).

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

225848976 is an equidigital number, since it uses as much as digits as its factorization.

225848976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 771 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 225848976 is about 15028.2725554203. The cubic root of 225848976 is about 608.9842236416.

The spelling of 225848976 in words is "two hundred twenty-five million, eight hundred forty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 683 996 1328 1366 1992 2049 2732 3984 4098 5464 6889 8196 10928 13778 16392 20667 27556 32784 41334 55112 56689 82668 110224 113378 165336 170067 226756 330672 340134 453512 680268 907024 1360536 2721072 4705187 9410374 14115561 18820748 28231122 37641496 56462244 75282992 112924488 225848976