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222133332213 = 321311316801553
BaseRepresentation
bin1100111011100000101…
…1011010100011110101
3210020100212001110101100
43032320023122203311
512114412113112323
6250014024120313
722022446112232
oct3167013324365
9706325043340
10222133332213
118622a5252a1
1237074006099
1317c40985560
14aa7384c789
155ba163d943
hex33b82da8f5

222133332213 has 24 divisors (see below), whose sum is σ = 348598642392. Its totient is φ = 135487715328.

The previous prime is 222133332203. The next prime is 222133332229. The reversal of 222133332213 is 312233331222.

222133332213 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 333 + 322 + 1 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18048041649 + 204085290564 = 134343^2 + 451758^2 .

It is not a de Polignac number, because 222133332213 - 29 = 222133331701 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222133332203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8387556 + ... + 8413997.

It is an arithmetic number, because the mean of its divisors is an integer number (14524943433).

Almost surely, 2222133332213 is an apocalyptic number.

It is an amenable number.

222133332213 is a deficient number, since it is larger than the sum of its proper divisors (126465310179).

222133332213 is a wasteful number, since it uses less digits than its factorization.

222133332213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16801685 (or 16801682 counting only the distinct ones).

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

Adding to 222133332213 its reverse (312233331222), we get a palindrome (534366663435).

Subtracting 222133332213 from its reverse (312233331222), we obtain a palindrome (90099999009).

The spelling of 222133332213 in words is "two hundred twenty-two billion, one hundred thirty-three million, three hundred thirty-two thousand, two hundred thirteen".

Divisors: 1 3 9 13 39 113 117 339 1017 1469 4407 13221 16801553 50404659 151213977 218420189 655260567 1898575489 1965781701 5695726467 17087179401 24681481357 74044444071 222133332213