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828204225 = 35211042723
BaseRepresentation
bin110001010111010…
…110010011000001
32010201102010121120
4301113112103001
53144010013400
6214103142453
726344422402
oct6127262301
92121363546
10828204225
11395555102
121b1444a29
13102779694
147bdcb9a9
154ca98ca0
hex315d64c1

828204225 has 12 divisors (see below), whose sum is σ = 1369297776. Its totient is φ = 441708880.

The previous prime is 828204203. The next prime is 828204229. The reversal of 828204225 is 522402828.

It is not a de Polignac number, because 828204225 - 29 = 828203713 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (828204229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5521287 + ... + 5521436.

It is an arithmetic number, because the mean of its divisors is an integer number (114108148).

Almost surely, 2828204225 is an apocalyptic number.

It is an amenable number.

828204225 is a deficient number, since it is larger than the sum of its proper divisors (541093551).

828204225 is a wasteful number, since it uses less digits than its factorization.

828204225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11042736 (or 11042731 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 828204225 is about 28778.5375757699. The cubic root of 828204225 is about 939.1013839389.

The spelling of 828204225 in words is "eight hundred twenty-eight million, two hundred four thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 75 11042723 33128169 55213615 165640845 276068075 828204225