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2216322240 = 263511415119
BaseRepresentation
bin1000010000011010…
…0110010011000000
312201110101211112220
42010012212103000
514014334302430
61003531251040
7105631266606
oct20406462300
95643354486
102216322240
11a38068780
1251a2a9a80
13294227aa2
141704c9876
15ce893110
hex841a64c0

2216322240 has 224 divisors, whose sum is σ = 7865303040. Its totient is φ = 524083200.

The previous prime is 2216322239. The next prime is 2216322259. The reversal of 2216322240 is 422236122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2216322240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 430401 + ... + 435519.

It is an arithmetic number, because the mean of its divisors is an integer number (35112960).

Almost surely, 22216322240 is an apocalyptic number.

2216322240 is a gapful number since it is divisible by the number (20) 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 2216322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932651520).

2216322240 is an abundant number, since it is smaller than the sum of its proper divisors (5648980800).

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

2216322240 is a wasteful number, since it uses less digits than its factorization.

2216322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5191 (or 5181 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2216322240 is about 47077.8317257709. The cubic root of 2216322240 is about 1303.7999743372.

Adding to 2216322240 its reverse (422236122), we get a palindrome (2638558362).

The spelling of 2216322240 in words is "two billion, two hundred sixteen million, three hundred twenty-two thousand, two hundred forty".