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2221112322 = 232111317193263
BaseRepresentation
bin1000010001100011…
…0111110000000010
312201210102012022100
42010120313300002
514022101043242
61004222051230
7106020100062
oct20430676002
95653365270
102221112322
11a3a83a620
1251ba19b16
13295214160
14170db53a2
15ceedc54c
hex84637c02

2221112322 has 192 divisors, whose sum is σ = 6040210176. Its totient is φ = 579502080.

The previous prime is 2221112317. The next prime is 2221112357. The reversal of 2221112322 is 2232111222.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a junction number, because it is equal to n+sod(n) for n = 2221112295 and 2221112304.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8445163 + ... + 8445425.

It is an arithmetic number, because the mean of its divisors is an integer number (31459428).

Almost surely, 22221112322 is an apocalyptic number.

2221112322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221112322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3020105088).

2221112322 is an abundant number, since it is smaller than the sum of its proper divisors (3819097854).

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

2221112322 is a wasteful number, since it uses less digits than its factorization.

2221112322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 502 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2221112322 is about 47128.6783392023. The cubic root of 2221112322 is about 1304.7385885865.

Adding to 2221112322 its reverse (2232111222), we get a palindrome (4453223544).

The spelling of 2221112322 in words is "two billion, two hundred twenty-one million, one hundred twelve thousand, three hundred twenty-two".