Search a number
-
+
2225213122 = 211311932429
BaseRepresentation
bin1000010010100010…
…0000111011000010
312202002010112112211
42010220200323002
514024123304442
61004450012334
7106066666546
oct20450407302
95662115484
102225213122
11a42090610
125212770aa
1329601b872
14171761a26
15d054c617
hex84a20ec2

2225213122 has 16 divisors (see below), whose sum is σ = 3642537600. Its totient is φ = 1011105040.

The previous prime is 2225213093. The next prime is 2225213129. The reversal of 2225213122 is 2213125222.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2225213093 and 2225213102.

It is not an unprimeable number, because it can be changed into a prime (2225213129) 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 7 ways as a sum of consecutive naturals, for example, 52404 + ... + 84832.

It is an arithmetic number, because the mean of its divisors is an integer number (227658600).

Almost surely, 22225213122 is an apocalyptic number.

2225213122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2225213122 is a deficient number, since it is larger than the sum of its proper divisors (1417324478).

2225213122 is a wasteful number, since it uses less digits than its factorization.

2225213122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35561.

The product of its digits is 960, while the sum is 22.

The square root of 2225213122 is about 47172.1646948706. The cubic root of 2225213122 is about 1305.5410667709.

Adding to 2225213122 its reverse (2213125222), we get a palindrome (4438338344).

The spelling of 2225213122 in words is "two billion, two hundred twenty-five million, two hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 11 22 3119 6238 32429 34309 64858 68618 356719 713438 101146051 202292102 1112606561 2225213122