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4422224222244 = 2232197198991989
BaseRepresentation
bin100000001011010000100…
…0110101001100000100100
3120122202112102001112111100
41000112201012221200210
51034423203400102434
613223313004240100
7634331560453023
oct100264106514044
916582472045440
104422224222244
111455500317094
125b5081b40030
1326102487422a
14114072d6c8ba
157a073a23699
hex405a11a9824

4422224222244 has 72 divisors (see below), whose sum is σ = 11783103696000. Its totient is φ = 1394549434944.

The previous prime is 4422224222231. The next prime is 4422224222249.

4422224222244 is a `hidden beast` number, since 4 + 4 + 2 + 2 + 2 + 2 + 422 + 224 + 4 = 666.

4422224222244 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×44222242222443 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4422224222199 and 4422224222208.

It is not an unprimeable number, because it can be changed into a prime (4422224222249) 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, 4004199 + ... + 4987790.

It is an arithmetic number, because the mean of its divisors is an integer number (163654218000).

Almost surely, 24422224222244 is an apocalyptic number.

It is an amenable number.

4422224222244 is an abundant number, since it is smaller than the sum of its proper divisors (7360879473756).

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

4422224222244 is a wasteful number, since it uses less digits than its factorization.

4422224222244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8992737 (or 8992732 counting only the distinct ones).

The product of its digits is 262144, while the sum is 36.

The spelling of 4422224222244 in words is "four trillion, four hundred twenty-two billion, two hundred twenty-four million, two hundred twenty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 719 1438 2157 2876 4314 6471 8628 12942 13661 25884 27322 40983 54644 81966 122949 163932 245898 491796 8991989 17983978 26975967 35967956 53951934 80927901 107903868 161855802 170847791 323711604 341695582 512543373 683391164 1025086746 1537630119 2050173492 3075260238 6150520476 6465240091 12930480182 19395720273 25860960364 38791440546 58187160819 77582881092 116374321638 122839561729 232748643276 245679123458 368518685187 491358246916 737037370374 1105556055561 1474074740748 2211112111122 4422224222244