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83057226 = 23741139347
BaseRepresentation
bin1001111001101…
…01101001001010
312210021202002120
410330311221022
5132230312401
612124112110
72025655230
oct474655112
9183252076
1083057226
114297a13a
1223995636
1314290ab5
14b060950
157459836
hex4f35a4a

83057226 has 64 divisors (see below), whose sum is σ = 196439040. Its totient is φ = 22919040.

The previous prime is 83057213. The next prime is 83057263. The reversal of 83057226 is 62275038.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239185 + ... + 239531.

It is an arithmetic number, because the mean of its divisors is an integer number (3069360).

Almost surely, 283057226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83057226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98219520).

83057226 is an abundant number, since it is smaller than the sum of its proper divisors (113381814).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83057226 is a wasteful number, since it uses less digits than its factorization.

83057226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 83057226 is about 9113.5737227500. The cubic root of 83057226 is about 436.3072946591.

The spelling of 83057226 in words is "eighty-three million, fifty-seven thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 139 246 278 287 347 417 574 694 834 861 973 1041 1722 1946 2082 2429 2919 4858 5699 5838 7287 11398 14227 14574 17097 28454 34194 39893 42681 48233 79786 85362 96466 99589 119679 144699 199178 239358 289398 298767 337631 597534 675262 1012893 1977553 2025786 3955106 5932659 11865318 13842871 27685742 41528613 83057226