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2042232205 = 51337849161
BaseRepresentation
bin111100110111001…
…1111110110001101
312021022211010220211
41321232133312031
513140302412310
6534352042421
7101415454516
oct17156376615
95238733824
102042232205
11958872312
1248bb33411
13267142c30
1415532da0d
15be455c8a
hex79b9fd8d

2042232205 has 16 divisors (see below), whose sum is σ = 2710525104. Its totient is φ = 1467348480.

The previous prime is 2042232187. The next prime is 2042232209. The reversal of 2042232205 is 5022322402.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 367236 + 2041864969 = 606^2 + 45187^2 .

It is not a de Polignac number, because 2042232205 - 25 = 2042232173 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042232209) 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, 422176 + ... + 426985.

It is an arithmetic number, because the mean of its divisors is an integer number (169407819).

Almost surely, 22042232205 is an apocalyptic number.

It is an amenable number.

2042232205 is a deficient number, since it is larger than the sum of its proper divisors (668292899).

2042232205 is a wasteful number, since it uses less digits than its factorization.

2042232205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849216.

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 2042232205 is about 45191.0633311499. The cubic root of 2042232205 is about 1268.7275586961.

Adding to 2042232205 its reverse (5022322402), we get a palindrome (7064554607).

The spelling of 2042232205 in words is "two billion, forty-two million, two hundred thirty-two thousand, two hundred five".

Divisors: 1 5 13 37 65 185 481 2405 849161 4245805 11039093 31418957 55195465 157094785 408446441 2042232205