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822242228 = 229717911839
BaseRepresentation
bin110001000000100…
…110101110110100
32010022012020021212
4301000212232310
53140443222403
6213331300552
726242641443
oct6100465664
92108166255
10822242228
11392152835
121ab44a758
1310146ca82
147b2b8d5a
154c2bc4d8
hex31026bb4

822242228 has 24 divisors (see below), whose sum is σ = 1462003200. Its totient is φ = 404575488.

The previous prime is 822242221. The next prime is 822242237.

822242228 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 822242194 and 822242203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822242221) 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, 63533 + ... + 75371.

It is an arithmetic number, because the mean of its divisors is an integer number (60916800).

Almost surely, 2822242228 is an apocalyptic number.

It is an amenable number.

822242228 is a deficient number, since it is larger than the sum of its proper divisors (639760972).

822242228 is a wasteful number, since it uses less digits than its factorization.

822242228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12119 (or 12117 counting only the distinct ones).

The product of its digits is 16384, while the sum is 32.

The square root of 822242228 is about 28674.7663983510. The cubic root of 822242228 is about 936.8425173284.

The spelling of 822242228 in words is "eight hundred twenty-two million, two hundred forty-two thousand, two hundred twenty-eight".

Divisors: 1 2 4 97 179 194 358 388 716 11839 17363 23678 34726 47356 69452 1148383 2119181 2296766 4238362 4593532 8476724 205560557 411121114 822242228