Search a number
-
+
222223112011233 = 322341140918583351
BaseRepresentation
bin110010100001110001011001…
…101001101111110111100001
31002010211022200202112220210200
4302201301121221233313201
5213111400413133324413
62104343515513215413
764544042606550444
oct6241613151576741
91063738622486720
10222223112011233
11648973244274a3
1220b103b2701569
1396cc71b472c28
143cc392813b65b
151aa57ee410573
hexca1c59a6fde1

222223112011233 has 48 divisors (see below), whose sum is σ = 343357904897280. Its totient is φ = 138153083904000.

The previous prime is 222223112011207. The next prime is 222223112011237. The reversal of 222223112011233 is 332110211322222.

222223112011233 is a `hidden beast` number, since 2 + 2 + 2 + 22 + 311 + 201 + 123 + 3 = 666.

It is not a de Polignac number, because 222223112011233 - 233 = 222214522076641 is a prime.

It is a super-2 number, since 2×2222231120112332 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222223112011197 and 222223112011206.

It is not an unprimeable number, because it can be changed into a prime (222223112011237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2666508 + ... + 21249858.

It is an arithmetic number, because the mean of its divisors is an integer number (7153289685360).

Almost surely, 2222223112011233 is an apocalyptic number.

222223112011233 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

222223112011233 is a deficient number, since it is larger than the sum of its proper divisors (121134792886047).

222223112011233 is a wasteful number, since it uses less digits than its factorization.

222223112011233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18584830 (or 18584827 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 222223112011233 its reverse (332110211322222), we get a palindrome (554333323333455).

The spelling of 222223112011233 in words is "two hundred twenty-two trillion, two hundred twenty-three billion, one hundred twelve million, eleven thousand, two hundred thirty-three".

Divisors: 1 3 9 23 41 69 123 207 369 943 1409 2829 4227 8487 12681 32407 57769 97221 173307 291663 519921 1328687 3986061 11958183 18583351 55750053 167250159 427417073 761917391 1282251219 2285752173 3846753657 6857256519 17524099993 26183941559 52572299979 78551824677 157716899937 235655474031 602230655857 1073541603919 1806691967571 3220624811757 5420075902713 9661874435271 24691456890137 74074370670411 222223112011233