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83222073 = 34112331131
BaseRepresentation
bin1001111010111…
…01111000111001
312210121010020000
410331131320321
5132301101243
612131423213
72030242644
oct475357071
9183533200
1083222073
1142a81a80
1223a54b09
131431ab3c
14b0a4a5b
15748d5d3
hex4f5de39

83222073 has 80 divisors (see below), whose sum is σ = 147197952. Its totient is φ = 46332000.

The previous prime is 83222063. The next prime is 83222077. The reversal of 83222073 is 37022238.

It is not a de Polignac number, because 83222073 - 24 = 83222057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (83222077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 635218 + ... + 635348.

Almost surely, 283222073 is an apocalyptic number.

It is an amenable number.

83222073 is a deficient number, since it is larger than the sum of its proper divisors (63975879).

83222073 is a wasteful number, since it uses less digits than its factorization.

83222073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 83222073 is about 9122.6132769070. The cubic root of 83222073 is about 436.5957560851.

The spelling of 83222073 in words is "eighty-three million, two hundred twenty-two thousand, seventy-three".

Divisors: 1 3 9 11 23 27 31 33 69 81 93 99 131 207 253 279 297 341 393 621 713 759 837 891 1023 1179 1441 1863 2139 2277 2511 3013 3069 3537 4061 4323 6417 6831 7843 9039 9207 10611 12183 12969 19251 20493 23529 27117 27621 33143 36549 38907 44671 57753 70587 81351 93403 99429 109647 116721 134013 211761 244053 280209 298287 328941 402039 635283 840627 894861 1027433 1206117 2521881 2684583 3082299 3618351 7565643 9246897 27740691 83222073