Search a number
-
+
222132103333 = 7533727160649
BaseRepresentation
bin1100111011100000011…
…0101110100010100101
3210020100202202000200021
43032320012232202211
512114411304301313
6250013541515141
722022432503420
oct3167006564245
9706322660607
10222132103333
1186229865a98
1237073712ab1
1317c406450ca
14aa7360c9b7
155ba149978d
hex33b81ae8a5

222132103333 has 16 divisors (see below), whose sum is σ = 258726182400. Its totient is φ = 186755227776.

The previous prime is 222132103331. The next prime is 222132103337. The reversal of 222132103333 is 333301231222.

222132103333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 222132103333 - 21 = 222132103331 is a prime.

It is a super-2 number, since 2×2221321033332 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222132103298 and 222132103307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222132103331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1302393 + ... + 1463041.

It is an arithmetic number, because the mean of its divisors is an integer number (16170386400).

Almost surely, 2222132103333 is an apocalyptic number.

It is an amenable number.

222132103333 is a deficient number, since it is larger than the sum of its proper divisors (36594079067).

222132103333 is a wasteful number, since it uses less digits than its factorization.

222132103333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164436.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 222132103333 its reverse (333301231222), we get a palindrome (555433334555).

The spelling of 222132103333 in words is "two hundred twenty-two billion, one hundred thirty-two million, one hundred three thousand, three hundred thirty-three".

Divisors: 1 7 53 371 3727 26089 160649 197531 1124543 1382717 8514397 59600779 598738823 4191171761 31733157619 222132103333