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235057053 = 37113133251
BaseRepresentation
bin11100000001010…
…10111110011101
3121101022010122210
432000222332131
5440133311203
635154031033
75552644350
oct1600527635
9541263583
10235057053
11110757930
1266878479
133991001a
142330a297
1515981803
hexe02af9d

235057053 has 32 divisors (see below), whose sum is σ = 392113152. Its totient is φ = 121680000.

The previous prime is 235057013. The next prime is 235057057. The reversal of 235057053 is 350750532.

It is not a de Polignac number, because 235057053 - 26 = 235056989 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 235057053.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235057057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70678 + ... + 73928.

It is an arithmetic number, because the mean of its divisors is an integer number (12253536).

Almost surely, 2235057053 is an apocalyptic number.

It is an amenable number.

235057053 is a deficient number, since it is larger than the sum of its proper divisors (157056099).

235057053 is a wasteful number, since it uses less digits than its factorization.

235057053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3585.

The product of its (nonzero) digits is 15750, while the sum is 30.

The square root of 235057053 is about 15331.5704675027. The cubic root of 235057053 is about 617.1505148671.

The spelling of 235057053 in words is "two hundred thirty-five million, fifty-seven thousand, fifty-three".

Divisors: 1 3 7 11 21 33 77 231 313 939 2191 3251 3443 6573 9753 10329 22757 24101 35761 68271 72303 107283 250327 750981 1017563 3052689 7122941 11193193 21368823 33579579 78352351 235057053