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225670410 = 2325717191109
BaseRepresentation
bin11010111001101…
…11010100001010
3120201122020121100
431130313110022
5430232423120
634220522230
75410111140
oct1534672412
9521566540
10225670410
11106426579
12636b0376
13379a46b4
1421d85590
1514c2a490
hexd73750a

225670410 has 192 divisors, whose sum is σ = 748051200. Its totient is φ = 45950976.

The previous prime is 225670397. The next prime is 225670451. The reversal of 225670410 is 14076522.

225670410 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 202936 + ... + 204044.

It is an arithmetic number, because the mean of its divisors is an integer number (3896100).

Almost surely, 2225670410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225670410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374025600).

225670410 is an abundant number, since it is smaller than the sum of its proper divisors (522380790).

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

225670410 is a wasteful number, since it uses less digits than its factorization.

225670410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 225670410 is about 15022.3303784732. The cubic root of 225670410 is about 608.8236848742.

The spelling of 225670410 in words is "two hundred twenty-five million, six hundred seventy thousand, four hundred ten".