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22222232231 = 312139916529
BaseRepresentation
bin10100101100100011…
…000101101010100111
32010100201001100210012
4110230203011222213
5331002342412411
614113031320435
71414454600033
oct245443055247
963321040705
1022222232231
119473963a91
12438222011b
132131bc1754
14110b4ad1c3
158a0dca18b
hex52c8c5aa7

22222232231 has 12 divisors (see below), whose sum is σ = 22980006000. Its totient is φ = 21488713920.

The previous prime is 22222232213. The next prime is 22222232273. The reversal of 22222232231 is 13223222222.

It is a de Polignac number, because none of the positive numbers 2k-22222232231 is a prime.

It is a super-2 number, since 2×222222322312 (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 = 22222232197 and 22222232206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22222232831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1336175 + ... + 1352703.

It is an arithmetic number, because the mean of its divisors is an integer number (1915000500).

Almost surely, 222222232231 is an apocalyptic number.

22222232231 is a deficient number, since it is larger than the sum of its proper divisors (757773769).

22222232231 is a wasteful number, since it uses less digits than its factorization.

22222232231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17990 (or 17959 counting only the distinct ones).

The product of its digits is 2304, while the sum is 23.

Adding to 22222232231 its reverse (13223222222), we get a palindrome (35445454453).

The spelling of 22222232231 in words is "twenty-two billion, two hundred twenty-two million, two hundred thirty-two thousand, two hundred thirty-one".

Divisors: 1 31 961 1399 16529 43369 512399 1344439 15884369 23124071 716846201 22222232231