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225654330 = 23511719631
BaseRepresentation
bin11010111001100…
…11011000111010
3120201121102112210
431130303120322
5430231414310
634220315550
75410013226
oct1534633072
9521542483
10225654330
11106415490
12636a2bb6
133799a295
1421d7d786
1514c25820
hexd73363a

225654330 has 64 divisors (see below), whose sum is σ = 599187456. Its totient is φ = 53928000.

The previous prime is 225654323. The next prime is 225654343. The reversal of 225654330 is 33456522.

225654330 = T2837 + T2838 + ... + T2891.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18615 + ... + 28245.

It is an arithmetic number, because the mean of its divisors is an integer number (9362304).

Almost surely, 2225654330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225654330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299593728).

225654330 is an abundant number, since it is smaller than the sum of its proper divisors (373533126).

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

225654330 is a wasteful number, since it uses less digits than its factorization.

225654330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9723.

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 225654330 is about 15021.7951656917. The cubic root of 225654330 is about 608.8092240840.

The spelling of 225654330 in words is "two hundred twenty-five million, six hundred fifty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 71 110 142 165 213 330 355 426 710 781 1065 1562 2130 2343 3905 4686 7810 9631 11715 19262 23430 28893 48155 57786 96310 105941 144465 211882 288930 317823 529705 635646 683801 1059410 1367602 1589115 2051403 3178230 3419005 4102806 6838010 7521811 10257015 15043622 20514030 22565433 37609055 45130866 75218110 112827165 225654330