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2221221112 = 23111131391607
BaseRepresentation
bin1000010001100101…
…0010010011111000
312201210121201112121
42010121102103320
514022113033422
61004224251024
7106021032205
oct20431222370
95653551477
102221221112
11a3a904330
1251ba70a74
13295251826
14171002cac
15d000e8c7
hex846524f8

2221221112 has 64 divisors (see below), whose sum is σ = 4619462400. Its totient is φ = 992893440.

The previous prime is 2221221103. The next prime is 2221221127. The reversal of 2221221112 is 2111221222.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1381413 + ... + 1383019.

It is an arithmetic number, because the mean of its divisors is an integer number (72179100).

Almost surely, 22221221112 is an apocalyptic number.

2221221112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309731200).

2221221112 is an abundant number, since it is smaller than the sum of its proper divisors (2398241288).

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

2221221112 is a wasteful number, since it uses less digits than its factorization.

2221221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1872 counting only the distinct ones).

The product of its digits is 64, while the sum is 16.

The square root of 2221221112 is about 47129.8325055373. The cubic root of 2221221112 is about 1304.7598902548.

Adding to 2221221112 its reverse (2111221222), we get a palindrome (4332442334).

The spelling of 2221221112 in words is "two billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 113 139 226 278 452 556 904 1112 1243 1529 1607 2486 3058 3214 4972 6116 6428 9944 12232 12856 15707 17677 31414 35354 62828 70708 125656 141416 172777 181591 223373 345554 363182 446746 691108 726364 893492 1382216 1452728 1786984 1997501 2457103 3995002 4914206 7990004 9828412 15980008 19656824 25241149 50482298 100964596 201929192 277652639 555305278 1110610556 2221221112