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225841932 = 22343718839
BaseRepresentation
bin11010111011000…
…01001100001100
3120201221221220000
431131201030030
5430303420212
634224324300
75411424201
oct1535411414
9521857800
10225841932
11106533428
1263773690
1337a347a4
1421dcbca8
1514c611dc
hexd76130c

225841932 has 60 divisors (see below), whose sum is σ = 606384240. Its totient is φ = 73242144.

The previous prime is 225841927. The next prime is 225841939. The reversal of 225841932 is 239148522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (225841939) 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 19 ways as a sum of consecutive naturals, for example, 2569 + ... + 21407.

It is an arithmetic number, because the mean of its divisors is an integer number (10106404).

Almost surely, 2225841932 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 225841932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303192120).

225841932 is an abundant number, since it is smaller than the sum of its proper divisors (380542308).

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

225841932 is a wasteful number, since it uses less digits than its factorization.

225841932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18892 (or 18881 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 225841932 is about 15028.0381953201. The cubic root of 225841932 is about 608.9778923761.

The spelling of 225841932 in words is "two hundred twenty-five million, eight hundred forty-one thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1998 2997 3996 5994 11988 18839 37678 56517 75356 113034 169551 226068 339102 508653 678204 697043 1017306 1394086 1525959 2034612 2091129 2788172 3051918 4182258 6103836 6273387 8364516 12546774 18820161 25093548 37640322 56460483 75280644 112920966 225841932