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225834496 = 291972239
BaseRepresentation
bin11010111010111…
…11011000000000
3120201221120200121
431131133120000
5430303200441
634224230024
75411363416
oct1535373000
9521846617
10225834496
11106528888
126376b314
1337a312a4
1421dc92b6
1514c5ddd1
hexd75f600

225834496 has 40 divisors (see below), whose sum is σ = 453720960. Its totient is φ = 112293888.

The previous prime is 225834491. The next prime is 225834503. The reversal of 225834496 is 694438522.

225834496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225834491) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 99745 + ... + 101983.

It is an arithmetic number, because the mean of its divisors is an integer number (11343024).

Almost surely, 2225834496 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 225834496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226860480).

225834496 is an abundant number, since it is smaller than the sum of its proper divisors (227886464).

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

225834496 is an equidigital number, since it uses as much as digits as its factorization.

225834496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2438 counting only the distinct ones).

The product of its digits is 414720, while the sum is 43.

The square root of 225834496 is about 15027.7907890681. The cubic root of 225834496 is about 608.9712086317.

The spelling of 225834496 in words is "two hundred twenty-five million, eight hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 197 256 394 512 788 1576 2239 3152 4478 6304 8956 12608 17912 25216 35824 50432 71648 100864 143296 286592 441083 573184 882166 1146368 1764332 3528664 7057328 14114656 28229312 56458624 112917248 225834496