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225326850 = 23527534049
BaseRepresentation
bin11010110111000…
…11011100000010
3120200222210022220
431123203130002
5430140424400
634205311510
75404150410
oct1533433402
9520883286
10225326850
11106211441
1263565596
13378b41c8
1421cd62b0
1514bad7a0
hexd6e3702

225326850 has 96 divisors (see below), whose sum is σ = 650851200. Its totient is φ = 50519040.

The previous prime is 225326831. The next prime is 225326851. The reversal of 225326850 is 58623522.

225326850 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (225326851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53626 + ... + 57674.

It is an arithmetic number, because the mean of its divisors is an integer number (6779700).

Almost surely, 2225326850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225326850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325425600).

225326850 is an abundant number, since it is smaller than the sum of its proper divisors (425524350).

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

225326850 is a wasteful number, since it uses less digits than its factorization.

225326850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4124 (or 4119 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 225326850 is about 15010.8910461704. The cubic root of 225326850 is about 608.5145707989.

The spelling of 225326850 in words is "two hundred twenty-five million, three hundred twenty-six thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 53 70 75 105 106 150 159 175 210 265 318 350 371 525 530 742 795 1050 1113 1325 1590 1855 2226 2650 3710 3975 4049 5565 7950 8098 9275 11130 12147 18550 20245 24294 27825 28343 40490 55650 56686 60735 85029 101225 121470 141715 170058 202450 214597 283430 303675 425145 429194 607350 643791 708575 850290 1072985 1287582 1417150 1502179 2125725 2145970 3004358 3218955 4251450 4506537 5364925 6437910 7510895 9013074 10729850 15021790 16094775 22532685 32189550 37554475 45065370 75108950 112663425 225326850