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225736116 = 223295312239
BaseRepresentation
bin11010111010001…
…11010110110100
3120201202120201220
431131013112310
5430242023431
634222150340
75410503534
oct1535072664
9521676656
10225736116
11106470981
12637223b0
13379c8588
1421da14c4
1514c3eb96
hexd7475b4

225736116 has 48 divisors (see below), whose sum is σ = 555206400. Its totient is φ = 71274112.

The previous prime is 225736103. The next prime is 225736117. The reversal of 225736116 is 611637522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225736117) 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, 12325 + ... + 24563.

It is an arithmetic number, because the mean of its divisors is an integer number (11566800).

Almost surely, 2225736116 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 225736116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277603200).

225736116 is an abundant number, since it is smaller than the sum of its proper divisors (329470284).

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

225736116 is a wasteful number, since it uses less digits than its factorization.

225736116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12328 (or 12326 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 225736116 is about 15024.5171636229. The cubic root of 225736116 is about 608.8827673317.

The spelling of 225736116 in words is "two hundred twenty-five million, seven hundred thirty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 29 53 58 87 106 116 159 174 212 318 348 636 1537 3074 4611 6148 9222 12239 18444 24478 36717 48956 73434 146868 354931 648667 709862 1064793 1297334 1419724 1946001 2129586 2594668 3892002 4259172 7784004 18811343 37622686 56434029 75245372 112868058 225736116