Search a number
-
+
22131141433 = 177385720809
BaseRepresentation
bin10100100111000111…
…100110101100111001
32010010100122110200221
4110213013212230321
5330311033011213
614100015100041
71412300412142
oct244707465471
963110573627
1022131141433
1194274a8135
124357811621
13211907a17b
1410dd35aac9
15897dd538d
hex5271e6b39

22131141433 has 16 divisors (see below), whose sum is σ = 23782833360. Its totient is φ = 20519018496.

The previous prime is 22131141419. The next prime is 22131141437. The reversal of 22131141433 is 33414113122.

It can be written as a sum of positive squares in 8 ways, for example, as 2026170169 + 20104971264 = 45013^2 + 141792^2 .

It is a de Polignac number, because none of the positive numbers 2k-22131141433 is a prime.

It is a super-2 number, since 2×221311414332 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22131141398 and 22131141407.

It is not an unprimeable number, because it can be changed into a prime (22131141437) 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, 1053133 + ... + 1073941.

It is an arithmetic number, because the mean of its divisors is an integer number (1486427085).

Almost surely, 222131141433 is an apocalyptic number.

It is an amenable number.

22131141433 is a deficient number, since it is larger than the sum of its proper divisors (1651691927).

22131141433 is a wasteful number, since it uses less digits than its factorization.

22131141433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21756.

The product of its digits is 1728, while the sum is 25.

Adding to 22131141433 its reverse (33414113122), we get a palindrome (55545254555).

The spelling of 22131141433 in words is "twenty-two billion, one hundred thirty-one million, one hundred forty-one thousand, four hundred thirty-three".

Divisors: 1 17 73 857 1241 14569 20809 62561 353753 1063537 1519057 17833313 25823969 303166321 1301831849 22131141433