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2220022242 = 23610314783
BaseRepresentation
bin1000010001010010…
…1101100111100010
312201201100211000000
42010110231213202
514021311202432
61004142440430
7106004610024
oct20424554742
95651324000
102220022242
11a3a165629
1251b593116
13294c21c39
14170bb0014
15ced7457c
hex8452d9e2

2220022242 has 56 divisors (see below), whose sum is σ = 5041580544. Its totient is φ = 732773304.

The previous prime is 2220022201. The next prime is 2220022243. The reversal of 2220022242 is 2422200222.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2220022243) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 142783 + ... + 157565.

It is an arithmetic number, because the mean of its divisors is an integer number (90028224).

Almost surely, 22220022242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220022242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520790272).

2220022242 is an abundant number, since it is smaller than the sum of its proper divisors (2821558302).

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

2220022242 is a wasteful number, since it uses less digits than its factorization.

2220022242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14906 (or 14891 counting only the distinct ones).

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

The square root of 2220022242 is about 47117.1119870478. Note that the first 3 decimals coincide. The cubic root of 2220022242 is about 1304.5251066351.

Adding to 2220022242 its reverse (2422200222), we get a palindrome (4642222464).

The spelling of 2220022242 in words is "two billion, two hundred twenty million, twenty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 103 162 206 243 309 486 618 729 927 1458 1854 2781 5562 8343 14783 16686 25029 29566 44349 50058 75087 88698 133047 150174 266094 399141 798282 1197423 1522649 2394846 3045298 3592269 4567947 7184538 9135894 10776807 13703841 21553614 27407682 41111523 82223046 123334569 246669138 370003707 740007414 1110011121 2220022242