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225039528 = 233271512957
BaseRepresentation
bin11010110100111…
…01010010101000
3120200110012012100
431122131102220
5430102231103
634155213400
75401542630
oct1532352250
9520405170
10225039528
1110603558a
1263447260
13378134ac
1421c5d6c0
1514b535a3
hexd69d4a8

225039528 has 96 divisors (see below), whose sum is σ = 701400960. Its totient is φ = 63849600.

The previous prime is 225039527. The next prime is 225039559. The reversal of 225039528 is 825930522.

225039528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 225039492 and 225039501.

It is not an unprimeable number, because it can be changed into a prime (225039527) 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, 74626 + ... + 77582.

It is an arithmetic number, because the mean of its divisors is an integer number (7306260).

Almost surely, 2225039528 is an apocalyptic number.

225039528 is a gapful number since it is divisible by the number (28) 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 225039528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350700480).

225039528 is an abundant number, since it is smaller than the sum of its proper divisors (476361432).

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

225039528 is a wasteful number, since it uses less digits than its factorization.

225039528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3127 (or 3120 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 225039528 is about 15001.3175421361. The cubic root of 225039528 is about 608.2558148467.

The spelling of 225039528 in words is "two hundred twenty-five million, thirty-nine thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 151 168 252 302 453 504 604 906 1057 1208 1359 1812 2114 2718 2957 3171 3624 4228 5436 5914 6342 8456 8871 9513 10872 11828 12684 17742 19026 20699 23656 25368 26613 35484 38052 41398 53226 62097 70968 76104 82796 106452 124194 165592 186291 212904 248388 372582 446507 496776 745164 893014 1339521 1490328 1786028 2679042 3125549 3572056 4018563 5358084 6251098 8037126 9376647 10716168 12502196 16074252 18753294 25004392 28129941 32148504 37506588 56259882 75013176 112519764 225039528