Search a number
-
+
225283392 = 2632391117
BaseRepresentation
bin11010110110110…
…00110101000000
3120200220120201100
431123120311000
5430133032032
634204334400
75403606615
oct1533306500
9520816640
10225283392
11106191824
1263544400
133789a4a9
1421cc450c
1514ba097c
hexd6d8d40

225283392 has 42 divisors (see below), whose sum is σ = 645735818. Its totient is φ = 75094272.

The previous prime is 225283391. The next prime is 225283447. The reversal of 225283392 is 293382522.

It can be written as a sum of positive squares in only one way, i.e., 222129216 + 3154176 = 14904^2 + 1776^2 .

It is a super-2 number, since 2×2252833922 = 101505213422051328, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225283391) 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 5 ways as a sum of consecutive naturals, for example, 194983 + ... + 196134.

Almost surely, 2225283392 is an apocalyptic number.

It is an amenable number.

225283392 is an abundant number, since it is smaller than the sum of its proper divisors (420452426).

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

225283392 is a wasteful number, since it uses less digits than its factorization.

225283392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391135 (or 391122 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 225283392 is about 15009.4434273893. The cubic root of 225283392 is about 608.4754475926.

The spelling of 225283392 in words is "two hundred twenty-five million, two hundred eighty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 391117 782234 1173351 1564468 2346702 3128936 3520053 4693404 6257872 7040106 9386808 12515744 14080212 18773616 25031488 28160424 37547232 56320848 75094464 112641696 225283392