Search a number
-
+
222131313333 = 37372745107
BaseRepresentation
bin1100111011100000001…
…1101101101010110101
3210020100201020220000000
43032320003231222311
512114411104011313
6250013512541513
722022423003256
oct3167003555265
9706321226000
10222131313333
11862293764a6
12370733b1899
1317c40429657
14aa73484b2d
155ba1390673
hex33b80edab5

222131313333 has 32 divisors (see below), whose sum is σ = 342150261120. Its totient is φ = 144085123728.

The previous prime is 222131313329. The next prime is 222131313343. The reversal of 222131313333 is 333313131222.

222131313333 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 313 + 13 + 333 = 666.

It is not a de Polignac number, because 222131313333 - 22 = 222131313329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 222131313297 and 222131313306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222131313323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1291635 + ... + 1453472.

It is an arithmetic number, because the mean of its divisors is an integer number (10692195660).

Almost surely, 2222131313333 is an apocalyptic number.

It is an amenable number.

222131313333 is a deficient number, since it is larger than the sum of its proper divisors (120018947787).

222131313333 is an frugal number, since it uses more digits than its factorization.

222131313333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745165 (or 2745147 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 222131313333 its reverse (333313131222), we get a palindrome (555444444555).

The spelling of 222131313333 in words is "two hundred twenty-two billion, one hundred thirty-one million, three hundred thirteen thousand, three hundred thirty-three".

Divisors: 1 3 9 27 37 81 111 243 333 729 999 2187 2997 8991 26973 80919 2745107 8235321 24705963 74117889 101568959 222353667 304706877 667061001 914120631 2001183003 2742361893 6003549009 8227085679 24681257037 74043771111 222131313333