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825116212 = 223126325301
BaseRepresentation
bin110001001011100…
…100011000110100
32010111121020122201
4301023210120310
53142212204322
6213513034244
726306241424
oct6113443064
92114536581
10825116212
11393836028
121b03b5984
13101c37c5b
147b826484
154c688d27
hex312e4634

825116212 has 24 divisors (see below), whose sum is σ = 1496259072. Its totient is φ = 397716000.

The previous prime is 825116209. The next prime is 825116213. The reversal of 825116212 is 212611528.

It is a super-3 number, since 3×8251162123 (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825116213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19962 + ... + 45262.

It is an arithmetic number, because the mean of its divisors is an integer number (62344128).

Almost surely, 2825116212 is an apocalyptic number.

It is an amenable number.

825116212 is a deficient number, since it is larger than the sum of its proper divisors (671142860).

825116212 is a wasteful number, since it uses less digits than its factorization.

825116212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25599 (or 25597 counting only the distinct ones).

The product of its digits is 1920, while the sum is 28.

The square root of 825116212 is about 28724.8361527094. The cubic root of 825116212 is about 937.9327635653.

The spelling of 825116212 in words is "eight hundred twenty-five million, one hundred sixteen thousand, two hundred twelve".

Divisors: 1 2 4 31 62 124 263 526 1052 8153 16306 25301 32612 50602 101204 784331 1568662 3137324 6654163 13308326 26616652 206279053 412558106 825116212