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2221200114 = 237232257389
BaseRepresentation
bin1000010001100100…
…1101001011110010
312201210120122201220
42010121031023302
514022111400424
61004224005510
7106020614040
oct20431151362
95653518656
102221200114
11a3a89a581
1251ba60896
132952450c3
14170dd9390
15d0008579
hex8464d2f2

2221200114 has 96 divisors (see below), whose sum is σ = 5341714560. Its totient is φ = 603119616.

The previous prime is 2221200089. The next prime is 2221200209. The reversal of 2221200114 is 4110021222.

It is a super-2 number, since 2×22212001142 = 9867459892867225992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2221200093 and 2221200102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5709832 + ... + 5710220.

It is an arithmetic number, because the mean of its divisors is an integer number (55642860).

Almost surely, 22221200114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221200114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2670857280).

2221200114 is an abundant number, since it is smaller than the sum of its proper divisors (3120514446).

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

2221200114 is a wasteful number, since it uses less digits than its factorization.

2221200114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2221200114 is about 47129.6097374039. The cubic root of 2221200114 is about 1304.7557787874.

Adding to 2221200114 its reverse (4110021222), we get a palindrome (6331221336).

The spelling of 2221200114 in words is "two billion, two hundred twenty-one million, two hundred thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 257 322 389 483 514 529 771 778 966 1058 1167 1542 1587 1799 2334 2723 3174 3598 3703 5397 5446 5911 7406 8169 8947 10794 11109 11822 16338 17733 17894 22218 26841 35466 41377 53682 62629 82754 99973 124131 125258 135953 187887 199946 205781 248262 271906 299919 375774 407859 411562 599838 617343 699811 815718 951671 1234686 1399622 1440467 1903342 2099433 2299379 2855013 2880934 4198866 4321401 4598758 5710026 6898137 8642802 13796274 16095653 32191306 48286959 52885717 96573918 105771434 158657151 317314302 370200019 740400038 1110600057 2221200114