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996226821 = 322919319777
BaseRepresentation
bin111011011000010…
…011011100000101
32120102120120021200
4323120103130011
54020013224241
6242504333113
733454534242
oct7330233405
92512516250
10996226821
11471386a57
12239774199
1312b518935
14964485c9
155c6d84b6
hex3b613705

996226821 has 24 divisors (see below), whose sum is σ = 1496403480. Its totient is φ = 637894656.

The previous prime is 996226801. The next prime is 996226837. The reversal of 996226821 is 128622699.

996226821 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 62252100 + 933974721 = 7890^2 + 30561^2 .

It is not a de Polignac number, because 996226821 - 25 = 996226789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996226801) 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, 40485 + ... + 60261.

It is an arithmetic number, because the mean of its divisors is an integer number (62350145).

Almost surely, 2996226821 is an apocalyptic number.

It is an amenable number.

996226821 is a deficient number, since it is larger than the sum of its proper divisors (500176659).

996226821 is a wasteful number, since it uses less digits than its factorization.

996226821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20005 (or 20002 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 996226821 is about 31563.0610207565. The cubic root of 996226821 is about 998.7406884668.

The spelling of 996226821 in words is "nine hundred ninety-six million, two hundred twenty-six thousand, eight hundred twenty-one".

Divisors: 1 3 9 29 87 193 261 579 1737 5597 16791 19777 50373 59331 177993 573533 1720599 3816961 5161797 11450883 34352649 110691869 332075607 996226821