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225132032 = 291672633
BaseRepresentation
bin11010110101100…
…11111000000000
3120200121220002102
431122303320000
5430113211112
634201205532
75402406416
oct1532637000
9520556072
10225132032
11106099034
12634908a8
1337846628
1421c852b6
1514b70bc2
hexd6b3e00

225132032 has 40 divisors (see below), whose sum is σ = 452689776. Its totient is φ = 111849472.

The previous prime is 225132031. The next prime is 225132041. The reversal of 225132032 is 230231522.

It is a junction number, because it is equal to n+sod(n) for n = 225131995 and 225132013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225132031) 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 3 ways as a sum of consecutive naturals, for example, 84188 + ... + 86820.

Almost surely, 2225132032 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 225132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226344888).

225132032 is an abundant number, since it is smaller than the sum of its proper divisors (227557744).

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

225132032 is an equidigital number, since it uses as much as digits as its factorization.

225132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 225132032 is about 15004.4004212098. The cubic root of 225132032 is about 608.3391459673.

Adding to 225132032 its reverse (230231522), we get a palindrome (455363554).

The spelling of 225132032 in words is "two hundred twenty-five million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 167 256 334 512 668 1336 2633 2672 5266 5344 10532 10688 21064 21376 42128 42752 84256 85504 168512 337024 439711 674048 879422 1348096 1758844 3517688 7035376 14070752 28141504 56283008 112566016 225132032