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2220240222 = 2321759912113
BaseRepresentation
bin1000010001010110…
…0010110101011110
312201201202220000100
42010111202311132
514021340141342
61004151241530
7106006505364
oct20425426536
95651686010
102220240222
11a3a2a4382
1251b6792a6
13294c9a215
14170c29634
15cedb8e4c
hex84562d5e

2220240222 has 48 divisors (see below), whose sum is σ = 5102416800. Its totient is φ = 695325696.

The previous prime is 2220240179. The next prime is 2220240227. The reversal of 2220240222 is 2220420222.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2220240195 and 2220240204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220240227) 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, 177238 + ... + 189350.

It is an arithmetic number, because the mean of its divisors is an integer number (106300350).

Almost surely, 22220240222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220240222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551208400).

2220240222 is an abundant number, since it is smaller than the sum of its proper divisors (2882176578).

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

2220240222 is a wasteful number, since it uses less digits than its factorization.

2220240222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12737 (or 12734 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2220240222 is about 47119.4251026050. The cubic root of 2220240222 is about 1304.5678015642.

Adding to 2220240222 its reverse (2220420222), we get a palindrome (4440660444).

The spelling of 2220240222 in words is "two billion, two hundred twenty million, two hundred forty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 599 1198 1797 3594 5391 10183 10782 12113 20366 24226 30549 36339 61098 72678 91647 109017 183294 205921 218034 411842 617763 1235526 1853289 3706578 7255687 14511374 21767061 43534122 65301183 123346679 130602366 246693358 370040037 740080074 1110120111 2220240222