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225132512 = 25111733697
BaseRepresentation
bin11010110101100…
…11111111100000
3120200121220202012
431122303333200
5430113220022
634201212052
75402411003
oct1532637740
9520556665
10225132512
11106099430
1263491028
1337846907
1421c8553a
1514b70de2
hexd6b3fe0

225132512 has 48 divisors (see below), whose sum is σ = 486449712. Its totient is φ = 101713920.

The previous prime is 225132493. The next prime is 225132521. The reversal of 225132512 is 215231522.

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 7 ways as a sum of consecutive naturals, for example, 59048 + ... + 62744.

It is an arithmetic number, because the mean of its divisors is an integer number (10134369).

Almost surely, 2225132512 is an apocalyptic number.

225132512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225132512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243224856).

225132512 is an abundant number, since it is smaller than the sum of its proper divisors (261317200).

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

225132512 is a wasteful number, since it uses less digits than its factorization.

225132512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3891 (or 3883 counting only the distinct ones).

The product of its digits is 1200, while the sum is 23.

The square root of 225132512 is about 15004.4164165088. The cubic root of 225132512 is about 608.3395783100.

The spelling of 225132512 in words is "two hundred twenty-five million, one hundred thirty-two thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 173 176 346 352 692 1384 1903 2768 3697 3806 5536 7394 7612 14788 15224 29576 30448 40667 59152 60896 81334 118304 162668 325336 639581 650672 1279162 1301344 2558324 5116648 7035391 10233296 14070782 20466592 28141564 56283128 112566256 225132512