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83213215 = 517257587
BaseRepresentation
bin1001111010110…
…11101110011111
312210120200001221
410331123232133
5132300310330
612131314211
72030205061
oct475335637
9183520057
1083213215
1142a76358
1223a4b967
1314316ab7
14b0a1731
15748ab7a
hex4f5bb9f

83213215 has 12 divisors (see below), whose sum is σ = 106077096. Its totient is φ = 62653568.

The previous prime is 83213201. The next prime is 83213219. The reversal of 83213215 is 51231238.

It is not a de Polignac number, because 83213215 - 25 = 83213183 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 83213215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83213219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27349 + ... + 30238.

It is an arithmetic number, because the mean of its divisors is an integer number (8839758).

Almost surely, 283213215 is an apocalyptic number.

83213215 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

83213215 is a deficient number, since it is larger than the sum of its proper divisors (22863881).

83213215 is a wasteful number, since it uses less digits than its factorization.

83213215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57626 (or 57609 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 83213215 is about 9122.1277671385. The cubic root of 83213215 is about 436.5802653934.

The spelling of 83213215 in words is "eighty-three million, two hundred thirteen thousand, two hundred fifteen".

Divisors: 1 5 17 85 289 1445 57587 287935 978979 4894895 16642643 83213215