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83112225 = 3527236883
BaseRepresentation
bin1001111010000…
…11000100100001
312210101112112120
410331003010201
5132234042400
612125214453
72026304460
oct475030441
9183345476
1083112225
1142a07499
1223a01429
13142acb41
14b0769d7
15746aca0
hex4f43121

83112225 has 48 divisors (see below), whose sum is σ = 163894272. Its totient is φ = 36336960.

The previous prime is 83112217. The next prime is 83112241. The reversal of 83112225 is 52221138.

It is not a de Polignac number, because 83112225 - 23 = 83112217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 83112195 and 83112204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8634 + ... + 15516.

It is an arithmetic number, because the mean of its divisors is an integer number (3414464).

Almost surely, 283112225 is an apocalyptic number.

It is an amenable number.

83112225 is a deficient number, since it is larger than the sum of its proper divisors (80782047).

83112225 is a wasteful number, since it uses less digits than its factorization.

83112225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6926 (or 6921 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 83112225 is about 9116.5906456306. The cubic root of 83112225 is about 436.4035783554.

The spelling of 83112225 in words is "eighty-three million, one hundred twelve thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 21 23 25 35 69 75 105 115 161 175 345 483 525 575 805 1725 2415 4025 6883 12075 20649 34415 48181 103245 144543 158309 172075 240905 474927 516225 722715 791545 1108163 1204525 2374635 3324489 3613575 3957725 5540815 11873175 16622445 27704075 83112225