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225132336 = 243211132292
BaseRepresentation
bin11010110101100…
…11111100110000
3120200121220111200
431122303330300
5430113213321
634201211200
75402410332
oct1532637460
9520556450
10225132336
11106099290
1263490b00
1337846800
1421c85452
1514b70d26
hexd6b3f30

225132336 has 270 divisors, whose sum is σ = 770824548. Its totient is φ = 60802560.

The previous prime is 225132331. The next prime is 225132337. The reversal of 225132336 is 633231522.

225132336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (225132331) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 7763170 + ... + 7763198.

Almost surely, 2225132336 is an apocalyptic number.

225132336 is a gapful number since it is divisible by the number (26) 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 225132336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385412274).

225132336 is an abundant number, since it is smaller than the sum of its proper divisors (545692212).

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

225132336 is a wasteful number, since it uses less digits than its factorization.

225132336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 58 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 225132336 is about 15004.4105515678. The cubic root of 225132336 is about 608.3394197844.

Adding to 225132336 its reverse (633231522), we get a palindrome (858363858).

The spelling of 225132336 in words is "two hundred twenty-five million, one hundred thirty-two thousand, three hundred thirty-six".