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58123221 = 31317293023
BaseRepresentation
bin1101110110111…
…0001111010101
311001100222001220
43131232033111
5104334420341
65433440553
71304016312
oct335561725
9131328056
1058123221
112a899922
1217570159
13c070950
147a0dd09
155181a66
hex376e3d5

58123221 has 32 divisors (see below), whose sum is σ = 91445760. Its totient is φ = 32492544.

The previous prime is 58123207. The next prime is 58123249. The reversal of 58123221 is 12232185.

It is not a de Polignac number, because 58123221 - 214 = 58106837 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 58123191 and 58123200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58123271) 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 31 ways as a sum of consecutive naturals, for example, 17716 + ... + 20738.

It is an arithmetic number, because the mean of its divisors is an integer number (2857680).

Almost surely, 258123221 is an apocalyptic number.

58123221 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

58123221 is a deficient number, since it is larger than the sum of its proper divisors (33322539).

58123221 is a wasteful number, since it uses less digits than its factorization.

58123221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3085.

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

The square root of 58123221 is about 7623.8586686795. The cubic root of 58123221 is about 387.3615927479.

The spelling of 58123221 in words is "fifty-eight million, one hundred twenty-three thousand, two hundred twenty-one".

Divisors: 1 3 13 17 29 39 51 87 221 377 493 663 1131 1479 3023 6409 9069 19227 39299 51391 87667 117897 154173 263001 668083 1139671 1490339 2004249 3419013 4471017 19374407 58123221