Search a number
-
+
2132212122 = 232283341813
BaseRepresentation
bin111111100010110…
…1111100110011010
312111121010121011100
41333011233212122
513331321241442
6551324412230
7103560334605
oct17705574632
95447117140
102132212122
119a463a587
124b60a7076
1327c9889a1
1416327333c
15c72cb84c
hex7f16f99a

2132212122 has 24 divisors (see below), whose sum is σ = 4621534164. Its totient is φ = 710469504.

The previous prime is 2132212109. The next prime is 2132212139. The reversal of 2132212122 is 2212122312.

It can be written as a sum of positive squares in 2 ways, for example, as 1973225241 + 158986881 = 44421^2 + 12609^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a junction number, because it is equal to n+sod(n) for n = 2132212095 and 2132212104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30088 + ... + 71900.

Almost surely, 22132212122 is an apocalyptic number.

2132212122 is an abundant number, since it is smaller than the sum of its proper divisors (2489322042).

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

2132212122 is a wasteful number, since it uses less digits than its factorization.

2132212122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44654 (or 44651 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2132212122 is about 46175.8824712642. The cubic root of 2132212122 is about 1287.0936154448.

Adding to 2132212122 its reverse (2212122312), we get a palindrome (4344334434).

The spelling of 2132212122 in words is "two billion, one hundred thirty-two million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 2833 5666 8499 16998 25497 41813 50994 83626 125439 250878 376317 752634 118456229 236912458 355368687 710737374 1066106061 2132212122