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222443133132 = 2231115111160101
BaseRepresentation
bin1100111100101010100…
…1001101100011001100
3210021011102222222100110
43033022221031203030
512121030420230012
6250104452200020
722033230302013
oct3171251154314
9707142888313
10222443133132
1186379393310
123713b909010
1317c8cc053cc
14aaa2a53a7a
155bbd93673c
hex33caa4d8cc

222443133132 has 48 divisors (see below), whose sum is σ = 569968729344. Its totient is φ = 66960600000.

The previous prime is 222443133113. The next prime is 222443133139. The reversal of 222443133132 is 231331344222.

It is a happy number.

222443133132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2224431331322 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 222443133132.

It is not an unprimeable number, because it can be changed into a prime (222443133139) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5560119 + ... + 5599982.

It is an arithmetic number, because the mean of its divisors is an integer number (11874348528).

Almost surely, 2222443133132 is an apocalyptic number.

222443133132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

222443133132 is an abundant number, since it is smaller than the sum of its proper divisors (347525596212).

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

222443133132 is a wasteful number, since it uses less digits than its factorization.

222443133132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11160270 (or 11160268 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

Adding to 222443133132 its reverse (231331344222), we get a palindrome (453774477354).

The spelling of 222443133132 in words is "two hundred twenty-two billion, four hundred forty-three million, one hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 151 302 453 604 906 1661 1812 3322 4983 6644 9966 19932 11160101 22320202 33480303 44640404 66960606 122761111 133921212 245522222 368283333 491044444 736566666 1473133332 1685175251 3370350502 5055525753 6740701004 10111051506 18536927761 20222103012 37073855522 55610783283 74147711044 111221566566 222443133132