Search a number
-
+
225844956 = 22332418677
BaseRepresentation
bin11010111011000…
…01111011011100
3120201222010001000
431131201323130
5430304014311
634224350300
75411436051
oct1535417334
9521863030
10225844956
11106535727
1263775390
1337a35c8c
1421dcd028
1514c62056
hexd761edc

225844956 has 48 divisors (see below), whose sum is σ = 588021280. Its totient is φ = 74960640.

The previous prime is 225844939. The next prime is 225844961. The reversal of 225844956 is 659448522.

225844956 is a `hidden beast` number, since 22 + 584 + 49 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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, 21690 + ... + 30366.

Almost surely, 2225844956 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 225844956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294010640).

225844956 is an abundant number, since it is smaller than the sum of its proper divisors (362176324).

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

225844956 is a wasteful number, since it uses less digits than its factorization.

225844956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8931 (or 8923 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 225844956 is about 15028.1388069182. The cubic root of 225844956 is about 608.9806104142.

The spelling of 225844956 in words is "two hundred twenty-five million, eight hundred forty-four thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 241 482 723 964 1446 2169 2892 4338 6507 8676 8677 13014 17354 26028 26031 34708 52062 78093 104124 156186 234279 312372 468558 937116 2091157 4182314 6273471 8364628 12546942 18820413 25093884 37640826 56461239 75281652 112922478 225844956