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225651528 = 23332353857
BaseRepresentation
bin11010111001100…
…10101101001000
3120201121021201000
431130302231020
5430231322103
634220255000
75410002114
oct1534625510
9521537630
10225651528
11106413373
12636a1460
1337998c1b
1421d7c744
1514c24aa3
hexd732b48

225651528 has 128 divisors (see below), whose sum is σ = 667180800. Its totient is φ = 70507008.

The previous prime is 225651527. The next prime is 225651529. The reversal of 225651528 is 825156522.

It is a happy number.

225651528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225651527) and next prime (225651529).

It is a super-2 number, since 2×2256515282 = 101837224177469568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 225651492 and 225651501.

It is not an unprimeable number, because it can be changed into a prime (225651521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262876 + ... + 263732.

It is an arithmetic number, because the mean of its divisors is an integer number (5212350).

Almost surely, 2225651528 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 225651528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333590400).

225651528 is an abundant number, since it is smaller than the sum of its proper divisors (441529272).

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

225651528 is a wasteful number, since it uses less digits than its factorization.

225651528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 938 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 225651528 is about 15021.7019009166. The cubic root of 225651528 is about 608.8067041670.

The spelling of 225651528 in words is "two hundred twenty-five million, six hundred fifty-one thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 53 54 69 72 92 106 108 138 159 184 207 212 216 276 318 414 424 477 552 621 636 828 857 954 1219 1242 1272 1431 1656 1714 1908 2438 2484 2571 2862 3428 3657 3816 4876 4968 5142 5724 6856 7314 7713 9752 10284 10971 11448 14628 15426 19711 20568 21942 23139 29256 30852 32913 39422 43884 45421 46278 59133 61704 65826 78844 87768 90842 92556 118266 131652 136263 157688 177399 181684 185112 236532 263304 272526 354798 363368 408789 473064 532197 545052 709596 817578 1044683 1064394 1090104 1226367 1419192 1635156 2089366 2128788 2452734 3134049 3270312 4178732 4257576 4905468 6268098 8357464 9402147 9810936 12536196 18804294 25072392 28206441 37608588 56412882 75217176 112825764 225651528