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2221122222 = 23411310301
BaseRepresentation
bin1000010001100011…
…1010001010101110
312201210102200220000
42010120322022232
514022101402342
61004222205130
7106020140664
oct20430721256
95653380800
102221122222
11a3a847000
1251ba237a6
13295218807
14170db8c34
15ceee044c
hex8463a2ae

2221122222 has 80 divisors (see below), whose sum is σ = 5474812464. Its totient is φ = 673002000.

The previous prime is 2221122187. The next prime is 2221122229. The reversal of 2221122222 is 2222211222.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2221122195 and 2221122204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221122229) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 210472 + ... + 220772.

Almost surely, 22221122222 is an apocalyptic number.

2221122222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221122222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737406232).

2221122222 is an abundant number, since it is smaller than the sum of its proper divisors (3253690242).

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

2221122222 is a wasteful number, since it uses less digits than its factorization.

2221122222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10348 (or 10317 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 2221122222 is about 47128.7833706749. The cubic root of 2221122222 is about 1304.7405270886.

Adding to 2221122222 its reverse (2222211222), we get a palindrome (4443333444).

It can be divided in two parts, 22211222 and 22, that multiplied together give a palindrome (488646884).

The spelling of 2221122222 in words is "two billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 297 363 594 726 891 1089 1331 1782 2178 2662 3267 3993 6534 7986 9801 10301 11979 19602 20602 23958 30903 35937 61806 71874 92709 107811 113311 185418 215622 226622 278127 339933 556254 679866 834381 1019799 1246421 1668762 2039598 2492842 3059397 3739263 6118794 7478526 9178191 11217789 13710631 18356382 22435578 27421262 33653367 41131893 67306734 82263786 100960101 123395679 201920202 246791358 370187037 740374074 1110561111 2221122222