Search a number
-
+
2223132032133 = 32892775445733
BaseRepresentation
bin100000010110011100111…
…111101011110010000101
321212112021220010112002100
4200112130333223302011
5242410433300012013
64421143122502313
7316421166325005
oct40263477536205
97775256115070
102223132032133
11787909091111
122baa36504999
131318430c010c
1479858bcc005
153cc67142473
hex2059cfebc85

2223132032133 has 12 divisors (see below), whose sum is σ = 3247271508780. Its totient is φ = 1465435346496.

The previous prime is 2223132032003. The next prime is 2223132032161. The reversal of 2223132032133 is 3312302313222.

2223132032133 is a `hidden beast` number, since 2 + 2 + 2 + 313 + 20 + 321 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 209281545729 + 2013850486404 = 457473^2 + 1419102^2 .

It is not a de Polignac number, because 2223132032133 - 28 = 2223132031877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2223132032097 and 2223132032106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223132432133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1387722066 + ... + 1387723667.

It is an arithmetic number, because the mean of its divisors is an integer number (270605959065).

Almost surely, 22223132032133 is an apocalyptic number.

It is an amenable number.

2223132032133 is a deficient number, since it is larger than the sum of its proper divisors (1024139476647).

2223132032133 is a wasteful number, since it uses less digits than its factorization.

2223132032133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2775445828 (or 2775445825 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 2223132032133 its reverse (3312302313222), we get a palindrome (5535434345355).

The spelling of 2223132032133 in words is "two trillion, two hundred twenty-three billion, one hundred thirty-two million, thirty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 89 267 801 2775445733 8326337199 24979011597 247014670237 741044010711 2223132032133