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2220343242 = 2313171739679
BaseRepresentation
bin1000010001010111…
…1011111111001010
312201201222010022220
42010111323333022
514021401440432
61004153354510
7106010414625
oct20425737712
95651863286
102220343242
11a3a364817
1251b708a36
13295005090
14170c54dbc
15cedd972c
hex8457bfca

2220343242 has 64 divisors (see below), whose sum is σ = 5093383680. Its totient is φ = 639212544.

The previous prime is 2220343231. The next prime is 2220343243. The reversal of 2220343242 is 2423430222.

It is a happy number.

It is a super-2 number, since 2×22203432422 = 9859848224590141128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2220343243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224559 + ... + 234237.

It is an arithmetic number, because the mean of its divisors is an integer number (79584120).

Almost surely, 22220343242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220343242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546691840).

2220343242 is an abundant number, since it is smaller than the sum of its proper divisors (2873040438).

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

2220343242 is a wasteful number, since it uses less digits than its factorization.

2220343242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9887.

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2220343242 is about 47120.5182696455. The cubic root of 2220343242 is about 1304.5879787346.

Adding to 2220343242 its reverse (2423430222), we get a palindrome (4643773464).

The spelling of 2220343242 in words is "two billion, two hundred twenty million, three hundred forty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 173 221 346 442 519 663 1038 1326 2249 2941 4498 5882 6747 8823 9679 13494 17646 19358 29037 38233 58074 76466 114699 125827 164543 229398 251654 329086 377481 493629 754962 987258 1674467 2139059 3348934 4278118 5023401 6417177 10046802 12834354 21768071 28465939 43536142 56931878 65304213 85397817 130608426 170795634 370057207 740114414 1110171621 2220343242