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2221243420 = 22511109211439
BaseRepresentation
bin1000010001100101…
…0111110000011100
312201210122212010211
42010121113300130
514022114242140
61004224542204
7106021154224
oct20431276034
95653585124
102221243420
11a3a91a070
1251ba81964
1329525ba26
1417100b084
15d00162ea
hex84657c1c

2221243420 has 96 divisors (see below), whose sum is σ = 5171443200. Its totient is φ = 794707200.

The previous prime is 2221243363. The next prime is 2221243421. The reversal of 2221243420 is 243421222.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2221243391 and 2221243400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221243421) 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, 5059561 + ... + 5059999.

It is an arithmetic number, because the mean of its divisors is an integer number (53869200).

Almost surely, 22221243420 is an apocalyptic number.

2221243420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221243420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585721600).

2221243420 is an abundant number, since it is smaller than the sum of its proper divisors (2950199780).

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

2221243420 is a wasteful number, since it uses less digits than its factorization.

2221243420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2221243420 is about 47130.0691703290. The cubic root of 2221243420 is about 1304.7642581955.

Adding to 2221243420 its reverse (243421222), we get a palindrome (2464664642).

The spelling of 2221243420 in words is "two billion, two hundred twenty-one million, two hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 109 110 211 218 220 422 436 439 545 844 878 1055 1090 1199 1756 2110 2180 2195 2321 2398 4220 4390 4642 4796 4829 5995 8780 9284 9658 11605 11990 19316 22999 23210 23980 24145 45998 46420 47851 48290 91996 92629 95702 96580 114995 185258 191404 229990 239255 252989 370516 459980 463145 478510 505978 526361 926290 957020 1011956 1018919 1052722 1264945 1852580 2037838 2105444 2529890 2631805 4075676 5059780 5094595 5263610 10096561 10189190 10527220 20193122 20378380 40386244 50482805 100965610 111062171 201931220 222124342 444248684 555310855 1110621710 2221243420