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221112200200 = 23522334744897
BaseRepresentation
bin1100110111101101010…
…0000110110000001000
3210010201200121120121011
43031323110012300020
512110314210401300
6245324425453304
721655236456043
oct3157324066010
9703650546534
10221112200200
1185856088741
1236a2a041234
1317b0a259928
14a9b7d9dc5a
155b41b85eba
hex337b506c08

221112200200 has 48 divisors (see below), whose sum is σ = 516292351380. Its totient is φ = 88065269760.

The previous prime is 221112200143. The next prime is 221112200209. The reversal of 221112200200 is 2002211122.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 105535319044 + 115576881156 = 324862^2 + 339966^2 .

It is not an unprimeable number, because it can be changed into a prime (221112200209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2325849 + ... + 2419048.

Almost surely, 2221112200200 is an apocalyptic number.

221112200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221112200200 is an abundant number, since it is smaller than the sum of its proper divisors (295180151180).

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

221112200200 is a wasteful number, since it uses less digits than its factorization.

221112200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4745146 (or 4745137 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 221112200200 its reverse (2002211122), we get a palindrome (223114411322).

The spelling of 221112200200 in words is "two hundred twenty-one billion, one hundred twelve million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 233 466 932 1165 1864 2330 4660 5825 9320 11650 23300 46600 4744897 9489794 18979588 23724485 37959176 47448970 94897940 118622425 189795880 237244850 474489700 948979400 1105561001 2211122002 4422244004 5527805005 8844488008 11055610010 22111220020 27639025025 44222440040 55278050050 110556100100 221112200200