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822202068 = 223234676379
BaseRepresentation
bin110001000000011…
…100111011010100
32010022010012012110
4301000130323110
53140440431233
6213330351020
726242413402
oct6100347324
92108105173
10822202068
11392125646
121ab42b470
131014576cc
147b2a8472
154c2b0663
hex3101ced4

822202068 has 48 divisors (see below), whose sum is σ = 2006484480. Its totient is φ = 261549024.

The previous prime is 822202061. The next prime is 822202079. The reversal of 822202068 is 860202228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822202061) 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 15 ways as a sum of consecutive naturals, for example, 125703 + ... + 132081.

It is an arithmetic number, because the mean of its divisors is an integer number (41801760).

Almost surely, 2822202068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 822202068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003242240).

822202068 is an abundant number, since it is smaller than the sum of its proper divisors (1184282412).

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

822202068 is a wasteful number, since it uses less digits than its factorization.

822202068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6876 (or 6874 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 822202068 is about 28674.0661225436. The cubic root of 822202068 is about 936.8272646422.

The spelling of 822202068 in words is "eight hundred twenty-two million, two hundred two thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 467 934 1401 1868 2802 5604 6379 10741 12758 19137 21482 25516 32223 38274 42964 64446 76548 128892 146717 293434 440151 586868 880302 1760604 2978993 5957986 8936979 11915972 17873958 35747916 68516839 137033678 205550517 274067356 411101034 822202068