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222400220 = 22572229991
BaseRepresentation
bin11010100000110…
…00111011011100
3120111111002202012
431100120323130
5423413301340
634022450352
75340241100
oct1520307334
9514432665
10222400220
111045a2639
12625939b8
13370cb083
1421773900
15147d1565
hexd418edc

222400220 has 72 divisors (see below), whose sum is σ = 546215040. Its totient is φ = 75841920.

The previous prime is 222400219. The next prime is 222400223. The reversal of 222400220 is 22004222.

222400220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 222400195 and 222400204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222400223) 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, 223925 + ... + 224915.

It is an arithmetic number, because the mean of its divisors is an integer number (7586320).

Almost surely, 2222400220 is an apocalyptic number.

222400220 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 222400220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273107520).

222400220 is an abundant number, since it is smaller than the sum of its proper divisors (323814820).

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

222400220 is a wasteful number, since it uses less digits than its factorization.

222400220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 222400220 is about 14913.0888819185. The cubic root of 222400220 is about 605.8685428312.

Adding to 222400220 its reverse (22004222), we get a palindrome (244404442).

The spelling of 222400220 in words is "two hundred twenty-two million, four hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 229 245 458 490 916 980 991 1145 1603 1982 2290 3206 3964 4580 4955 6412 6937 8015 9910 11221 13874 16030 19820 22442 27748 32060 34685 44884 48559 56105 69370 97118 112210 138740 194236 224420 226939 242795 453878 485590 907756 971180 1134695 1588573 2269390 3177146 4538780 6354292 7942865 11120011 15885730 22240022 31771460 44480044 55600055 111200110 222400220