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822000000 = 27356137
BaseRepresentation
bin110000111111101…
…011100110000000
32010021201221000110
4300333223212000
53140413000000
6213322151320
726240612313
oct6077534600
92107657013
10822000000
11391aa7848
121ab352540
131013b6743
147b25497a
154c270850
hex30feb980

822000000 has 224 divisors, whose sum is σ = 2749183560. Its totient is φ = 217600000.

The previous prime is 821999957. The next prime is 822000017. The reversal of 822000000 is 228.

822000000 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 (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 822000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5999932 + ... + 6000068.

Almost surely, 2822000000 is an apocalyptic number.

822000000 is a gapful number since it is divisible by the number (80) 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 822000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374591780).

822000000 is an abundant number, since it is smaller than the sum of its proper divisors (1927183560).

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

822000000 is an frugal number, since it uses more digits than its factorization.

822000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 822000000 is about 28670.5423736629. The cubic root of 822000000 is about 936.7505120898.

Adding to 822000000 its reverse (228), we get a palindrome (822000228).

The spelling of 822000000 in words is "eight hundred twenty-two million", and thus it is an aban number.