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225428112 = 243271317203
BaseRepresentation
bin11010110111111…
…00001010010000
3120201011221020100
431123330022100
5430202144422
634211412400
75405051550
oct1533741220
9521157210
10225428112
11106280528
12635b4100
133791b320
1421d21160
1514bcd7ac
hexd6fc290

225428112 has 120 divisors (see below), whose sum is σ = 776519744. Its totient is φ = 59450112.

The previous prime is 225428089. The next prime is 225428117. The reversal of 225428112 is 211824522.

225428112 is a `hidden beast` number, since 2 + 2 + 542 + 8 + 112 = 666.

225428112 is digitally balanced in base 2, 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 (225428117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4503 + ... + 21705.

Almost surely, 2225428112 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 225428112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388259872).

225428112 is an abundant number, since it is smaller than the sum of its proper divisors (551091632).

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

225428112 is a wasteful number, since it uses less digits than its factorization.

225428112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17237 (or 17228 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 225428112 is about 15014.2636183064. The cubic root of 225428112 is about 608.6057127321.

The spelling of 225428112 in words is "two hundred twenty-five million, four hundred twenty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104 17203 34406 51609 68812 103218 120421 137624 154827 206436 223639 240842 275248 309654 361263 412872 447278 481684 619308 670917 722526 825744 894556 963368 1083789 1238616 1341834 1445052 1565473 1789112 1926736 2012751 2167578 2477232 2683668 2890104 3130946 3578224 4025502 4335156 4696419 5367336 5780208 6261892 8051004 8670312 9392838 10734672 12523784 14089257 16102008 17340624 18785676 25047568 28178514 32204016 37571352 56357028 75142704 112714056 225428112