Search a number
-
+
2235105729 = 32436786201
BaseRepresentation
bin1000010100111001…
…0000000111000001
312202202202010122200
42011032100013001
514034141340404
61005442023413
7106250041143
oct20516200701
95682663580
102235105729
11a4772801a
12524647b69
132980a358c
14172bb8c93
15d1353839
hex853901c1

2235105729 has 24 divisors (see below), whose sum is σ = 3352912992. Its totient is φ = 1433678400.

The previous prime is 2235105703. The next prime is 2235105737. The reversal of 2235105729 is 9275015322.

It is not a de Polignac number, because 2235105729 - 27 = 2235105601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2235105693 and 2235105702.

It is not an unprimeable number, because it can be changed into a prime (2235105739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17172 + ... + 69029.

It is an arithmetic number, because the mean of its divisors is an integer number (139704708).

Almost surely, 22235105729 is an apocalyptic number.

It is an amenable number.

2235105729 is a deficient number, since it is larger than the sum of its proper divisors (1117807263).

2235105729 is a wasteful number, since it uses less digits than its factorization.

2235105729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86317 (or 86314 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 2235105729 is about 47276.9048161996. The cubic root of 2235105729 is about 1307.4728836534.

The spelling of 2235105729 in words is "two billion, two hundred thirty-five million, one hundred five thousand, seven hundred twenty-nine".

Divisors: 1 3 9 43 67 129 201 387 603 2881 8643 25929 86201 258603 775809 3706643 5775467 11119929 17326401 33359787 51979203 248345081 745035243 2235105729