Search a number
-
+
225022032 = 24321562653
BaseRepresentation
bin11010110100110…
…01000001010000
3120200102022012100
431122121001100
5430101201112
634155000400
75401440624
oct1532310120
9520368170
10225022032
11106023424
1263439100
1337808541
1421c57184
1514b4d2dc
hexd699050

225022032 has 30 divisors (see below), whose sum is σ = 629749562. Its totient is φ = 75007296.

The previous prime is 225022027. The next prime is 225022043. The reversal of 225022032 is 230220522.

It can be written as a sum of positive squares in only one way, i.e., 206669376 + 18352656 = 14376^2 + 4284^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 225021996 and 225022014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 781183 + ... + 781470.

Almost surely, 2225022032 is an apocalyptic number.

It is an amenable number.

225022032 is an abundant number, since it is smaller than the sum of its proper divisors (404727530).

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

225022032 is a wasteful number, since it uses less digits than its factorization.

225022032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562667 (or 1562658 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 225022032 is about 15000.7343820228. The cubic root of 225022032 is about 608.2400512167.

Adding to 225022032 its reverse (230220522), we get a palindrome (455242554).

The spelling of 225022032 in words is "two hundred twenty-five million, twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1562653 3125306 4687959 6250612 9375918 12501224 14063877 18751836 25002448 28127754 37503672 56255508 75007344 112511016 225022032