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2231222112 = 25357179229
BaseRepresentation
bin1000010011111101…
…1011111101100000
312202111102211100000
42010333123331200
514032143101422
61005222500000
7106202034510
oct20477337540
95674384300
102231222112
11a45515219
12523294600
13297343992
14172487840
15d0d37cac
hex84fdbf60

2231222112 has 288 divisors, whose sum is σ = 7595078400. Its totient is φ = 631162368.

The previous prime is 2231222107. The next prime is 2231222159. The reversal of 2231222112 is 2112221322.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×22312221123 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 congruent number.

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, 9743214 + ... + 9743442.

It is an arithmetic number, because the mean of its divisors is an integer number (26371800).

Almost surely, 22231222112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3797539200).

2231222112 is an abundant number, since it is smaller than the sum of its proper divisors (5363856288).

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

2231222112 is a wasteful number, since it uses less digits than its factorization.

2231222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 420 counting only the distinct ones).

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

The square root of 2231222112 is about 47235.8138704098. The cubic root of 2231222112 is about 1306.7151763656.

Adding to 2231222112 its reverse (2112221322), we get a palindrome (4343443434).

The spelling of 2231222112 in words is "two billion, two hundred thirty-one million, two hundred twenty-two thousand, one hundred twelve".