Search a number
-
+
2220440222 = 2711135092179
BaseRepresentation
bin1000010001011001…
…0011101010011110
312201202011001100202
42010112103222132
514021413041342
61004155423502
7106011300440
oct20426235236
95652131322
102220440222
11a3a420670
1251b754b92
1329503a270
14170c7c490
15cee08332
hex84593a9e

2220440222 has 64 divisors (see below), whose sum is σ = 4482777600. Its totient is φ = 796625280.

The previous prime is 2220440207. The next prime is 2220440231.

2220440222 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2220440194 and 2220440203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1017929 + ... + 1020107.

It is an arithmetic number, because the mean of its divisors is an integer number (70043400).

Almost surely, 22220440222 is an apocalyptic number.

2220440222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2220440222 is an abundant number, since it is smaller than the sum of its proper divisors (2262337378).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2220440222 is a wasteful number, since it uses less digits than its factorization.

2220440222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721.

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2220440222 is about 47121.5473217932. The cubic root of 2220440222 is about 1304.6069723595.

It can be divided in two parts, 22204 and 40222, that added together give a palindrome (62426).

The spelling of 2220440222 in words is "two billion, two hundred twenty million, four hundred forty thousand, two hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 509 1001 1018 2002 2179 3563 4358 5599 6617 7126 11198 13234 15253 23969 28327 30506 39193 46319 47938 56654 72787 78386 92638 145574 167783 198289 311597 335566 396578 509509 623194 1019018 1109111 2181179 2218222 4362358 7763777 12200221 14418443 15527554 24400442 28836886 85401547 100929101 158602873 170803094 201858202 317205746 1110220111 2220440222