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225300732 = 223237910333
BaseRepresentation
bin11010110110111…
…01000011111100
3120200221110111120
431123131003330
5430134110412
634204550540
75404011306
oct1533350374
9520843446
10225300732
111061a3858
1263552450
13378a5357
1421cca976
1514ba5b8c
hexd6dd0fc

225300732 has 48 divisors (see below), whose sum is σ = 555555840. Its totient is φ = 70918848.

The previous prime is 225300731. The next prime is 225300737. The reversal of 225300732 is 237003522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225300731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16638 + ... + 26970.

It is an arithmetic number, because the mean of its divisors is an integer number (11574080).

Almost surely, 2225300732 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 225300732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277777920).

225300732 is an abundant number, since it is smaller than the sum of its proper divisors (330255108).

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

225300732 is a wasteful number, since it uses less digits than its factorization.

225300732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10442 (or 10440 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 225300732 is about 15010.0210526168. The cubic root of 225300732 is about 608.4910585873.

The spelling of 225300732 in words is "two hundred twenty-five million, three hundred thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 79 92 138 158 237 276 316 474 948 1817 3634 5451 7268 10333 10902 20666 21804 30999 41332 61998 123996 237659 475318 712977 816307 950636 1425954 1632614 2448921 2851908 3265228 4897842 9795684 18775061 37550122 56325183 75100244 112650366 225300732