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2216328120 = 2332537227733
BaseRepresentation
bin1000010000011010…
…0111101110111000
312201110102010121200
42010012213232320
514014334444440
61003531334200
7105631323006
oct20406475670
95643363550
102216328120
11a38072136
1251a2b1360
1329422a676
141704cba76
15ce894c30
hex841a7bb8

2216328120 has 192 divisors, whose sum is σ = 7440469920. Its totient is φ = 571732992.

The previous prime is 2216328109. The next prime is 2216328137. The reversal of 2216328120 is 218236122.

2216328120 is a `hidden beast` number, since 2 + 2 + 1 + 632 + 8 + 1 + 20 = 666.

It is a super-2 number, since 2×22163281202 = 9824220671005468800, which contains 22 as substring.

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, 3023274 + ... + 3024006.

Almost surely, 22216328120 is an apocalyptic number.

2216328120 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 2216328120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720234960).

2216328120 is an abundant number, since it is smaller than the sum of its proper divisors (5224141800).

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

2216328120 is a wasteful number, since it uses less digits than its factorization.

2216328120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2216328120 is about 47077.8941755045. The cubic root of 2216328120 is about 1303.8011273490.

The spelling of 2216328120 in words is "two billion, two hundred sixteen million, three hundred twenty-eight thousand, one hundred twenty".