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225268784 = 241310110723
BaseRepresentation
bin11010110110101…
…01010000110000
3120200212211200022
431123111100300
5430132100114
634204143012
75403516206
oct1533252060
9520784608
10225268784
11106181854
1263537a68
1337893950
1421cbd076
1514b9b48e
hexd6d5430

225268784 has 40 divisors (see below), whose sum is σ = 474730032. Its totient is φ = 102931200.

The previous prime is 225268753. The next prime is 225268789. The reversal of 225268784 is 487862522.

It is not an unprimeable number, because it can be changed into a prime (225268789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15647 + ... + 26369.

Almost surely, 2225268784 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 225268784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237365016).

225268784 is an abundant number, since it is smaller than the sum of its proper divisors (249461248).

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

225268784 is a wasteful number, since it uses less digits than its factorization.

225268784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10845 (or 10839 counting only the distinct ones).

The product of its digits is 430080, while the sum is 44.

The square root of 225268784 is about 15008.9567925289. The cubic root of 225268784 is about 608.4622955630.

The spelling of 225268784 in words is "two hundred twenty-five million, two hundred sixty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 52 101 104 202 208 404 808 1313 1616 2626 5252 10504 10723 21008 21446 42892 85784 139399 171568 278798 557596 1083023 1115192 2166046 2230384 4332092 8664184 14079299 17328368 28158598 56317196 112634392 225268784