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822267225 = 325213281117
BaseRepresentation
bin110001000000101…
…100110101011001
32010022020111120200
4301000230311121
53141000022400
6213332012413
726243104353
oct6100546531
92108214520
10822267225
1139216a59a
121ab461109
1310147b270
147b2c40d3
154c2c4b00
hex3102cd59

822267225 has 36 divisors (see below), whose sum is σ = 1586067756. Its totient is φ = 404807040.

The previous prime is 822267217. The next prime is 822267233. The reversal of 822267225 is 522762228.

It is an interprime number because it is at equal distance from previous prime (822267217) and next prime (822267233).

It can be written as a sum of positive squares in 6 ways, for example, as 295702416 + 526564809 = 17196^2 + 22947^2 .

It is not a de Polignac number, because 822267225 - 23 = 822267217 is a prime.

It is a super-2 number, since 2×8222672252 = 1352246778618401250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 822267225.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 137634 + ... + 143483.

Almost surely, 2822267225 is an apocalyptic number.

It is an amenable number.

822267225 is a deficient number, since it is larger than the sum of its proper divisors (763800531).

822267225 is a wasteful number, since it uses less digits than its factorization.

822267225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281146 (or 281138 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 822267225 is about 28675.2022660695. The cubic root of 822267225 is about 936.8520108873.

The spelling of 822267225 in words is "eight hundred twenty-two million, two hundred sixty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 585 975 2925 281117 843351 1405585 2530053 3654521 4216755 7027925 10963563 12650265 18272605 21083775 32890689 54817815 63251325 91363025 164453445 274089075 822267225