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221222222224 = 2423247556103
BaseRepresentation
bin1100111000000111011…
…1110011100110010000
3210011000100122021102221
43032001313303212100
512111030342102344
6245343355550424
721661043602003
oct3160167634620
9704010567387
10221222222224
11859021a4933
1236a5aa5b414
1317b26c9c013
14a9c883d53a
155b4b66a184
hex3381df3990

221222222224 has 60 divisors (see below), whose sum is σ = 457597961856. Its totient is φ = 103550641216.

The previous prime is 221222222209. The next prime is 221222222233. The reversal of 221222222224 is 422222222122.

221222222224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119757 + ... + 675859.

Almost surely, 2221222222224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221222222224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228798980928).

221222222224 is an abundant number, since it is smaller than the sum of its proper divisors (236375739632).

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

221222222224 is a wasteful number, since it uses less digits than its factorization.

221222222224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556204 (or 556175 counting only the distinct ones).

The product of its digits is 4096, while the sum is 25.

Adding to 221222222224 its reverse (422222222122), we get a palindrome (643444444346).

The spelling of 221222222224 in words is "two hundred twenty-one billion, two hundred twenty-two million, two hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 46 47 92 94 184 188 368 376 529 752 1058 1081 2116 2162 4232 4324 8464 8648 17296 24863 49726 99452 198904 397808 556103 1112206 2224412 4448824 8897648 12790369 25580738 26136841 51161476 52273682 102322952 104547364 204645904 209094728 294178487 418189456 588356974 601147343 1176713948 1202294686 2353427896 2404589372 4706855792 4809178744 9618357488 13826388889 27652777778 55305555556 110611111112 221222222224