Search a number
-
+
2122333122 = 237133887057
BaseRepresentation
bin111111010000000…
…0011101111000010
312110220112200201110
41332200003233002
513321304124442
6550332544150
7103410351060
oct17640035702
95426480643
102122333122
1199a002318
124b2922056
1327a90a220
14161c21030
15c64c969c
hex7e803bc2

2122333122 has 32 divisors (see below), whose sum is σ = 5224205952. Its totient is φ = 559736064.

The previous prime is 2122333097. The next prime is 2122333127. The reversal of 2122333122 is 2213332212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2122333127) 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, 1942983 + ... + 1944074.

It is an arithmetic number, because the mean of its divisors is an integer number (163256436).

Almost surely, 22122333122 is an apocalyptic number.

2122333122 is an abundant number, since it is smaller than the sum of its proper divisors (3101872830).

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

2122333122 is a wasteful number, since it uses less digits than its factorization.

2122333122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3887082.

The product of its digits is 864, while the sum is 21.

The square root of 2122333122 is about 46068.7868518371. The cubic root of 2122333122 is about 1285.1027431765.

Adding to 2122333122 its reverse (2213332212), we get a palindrome (4335665334).

It can be divided in two parts, 21223 and 33122, that added together give a palindrome (54345).

The spelling of 2122333122 in words is "two billion, one hundred twenty-two million, three hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 3887057 7774114 11661171 23322342 27209399 50531741 54418798 81628197 101063482 151595223 163256394 303190446 353722187 707444374 1061166561 2122333122