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225128112 = 243111922441
BaseRepresentation
bin11010110101100…
…10111010110000
3120200121200201020
431122302322300
5430113044422
634201135440
75402362116
oct1532627260
9520550636
10225128112
111060960a0
126348a580
1337844901
1421c83ab6
1514b6e95c
hexd6b2eb0

225128112 has 80 divisors (see below), whose sum is σ = 667873920. Its totient is φ = 64627200.

The previous prime is 225128087. The next prime is 225128119. The reversal of 225128112 is 211821522.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (225128119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1189 + ... + 21252.

It is an arithmetic number, because the mean of its divisors is an integer number (8348424).

Almost surely, 2225128112 is an apocalyptic number.

225128112 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 225128112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333936960).

225128112 is an abundant number, since it is smaller than the sum of its proper divisors (442745808).

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

225128112 is a wasteful number, since it uses less digits than its factorization.

225128112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22482 (or 22476 counting only the distinct ones).

The product of its digits is 640, while the sum is 24.

The square root of 225128112 is about 15004.2697922958. The cubic root of 225128112 is about 608.3356151454.

Adding to 225128112 its reverse (211821522), we get a palindrome (436949634).

The spelling of 225128112 in words is "two hundred twenty-five million, one hundred twenty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 836 912 1254 1672 2508 3344 5016 10032 22441 44882 67323 89764 134646 179528 246851 269292 359056 426379 493702 538584 740553 852758 987404 1077168 1279137 1481106 1705516 1974808 2558274 2962212 3411032 3949616 4690169 5116548 5924424 6822064 9380338 10233096 11848848 14070507 18760676 20466192 28141014 37521352 56282028 75042704 112564056 225128112