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258118201 = 1179317937
BaseRepresentation
bin11110110001010…
…01001000111001
3122222200202121101
433120221020321
51012034240301
641340211401
76252653125
oct1730511071
9588622541
10258118201
11122779030
1272539b61
1341625883
14263d0585
15179d9701
hexf629239

258118201 has 16 divisors (see below), whose sum is σ = 286352640. Its totient is φ = 230705280.

The previous prime is 258118193. The next prime is 258118277. The reversal of 258118201 is 102811852.

258118201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 258118201 - 23 = 258118193 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 258118201.

It is not an unprimeable number, because it can be changed into a prime (258118801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275005 + ... + 275941.

It is an arithmetic number, because the mean of its divisors is an integer number (17897040).

Almost surely, 2258118201 is an apocalyptic number.

It is an amenable number.

258118201 is a deficient number, since it is larger than the sum of its proper divisors (28234439).

258118201 is a wasteful number, since it uses less digits than its factorization.

258118201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344.

The product of its (nonzero) digits is 1280, while the sum is 28.

The square root of 258118201 is about 16066.0574192924. The cubic root of 258118201 is about 636.7068807081.

The spelling of 258118201 in words is "two hundred fifty-eight million, one hundred eighteen thousand, two hundred one".

Divisors: 1 11 79 317 869 937 3487 10307 25043 74023 275473 297029 814253 3267319 23465291 258118201