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22213111131222 = 23112511340885617
BaseRepresentation
bin1010000110011111001001…
…00110010010110001010110
32220122112220220111111221220
411003033210212102301112
510402414422422144342
6115124321250151210
74451562413164224
oct503174446226126
986575826444856
1022213111131222
117094589158a60
1225a9071b82506
13c518c227918b
1456b198205b14
15287c3238c5ec
hex1433e4992c56

22213111131222 has 32 divisors (see below), whose sum is σ = 48658057305984. Its totient is φ = 6704428080000.

The previous prime is 22213111131217. The next prime is 22213111131223.

22213111131222 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×222131111312223 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22213111131192 and 22213111131201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22213111131223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 670426243 + ... + 670459374.

It is an arithmetic number, because the mean of its divisors is an integer number (1520564290812).

Almost surely, 222213111131222 is an apocalyptic number.

22213111131222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22213111131222 is an abundant number, since it is smaller than the sum of its proper divisors (26444946174762).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22213111131222 is a wasteful number, since it uses less digits than its factorization.

22213111131222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340885884.

The product of its digits is 576, while the sum is 24.

It can be divided in two parts, 2221311 and 1131222, that added together give a palindrome (3352533).

The spelling of 22213111131222 in words is "twenty-two trillion, two hundred thirteen billion, one hundred eleven million, one hundred thirty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 251 502 753 1506 2761 5522 8283 16566 1340885617 2681771234 4022656851 8045313702 14749741787 29499483574 44249225361 88498450722 336562289867 673124579734 1009686869601 2019373739202 3702185188537 7404370377074 11106555565611 22213111131222