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2199244320 = 2532571321291
BaseRepresentation
bin1000001100010101…
…1100111000100000
312200021021012001100
42003011130320200
514001001304240
61002121234400
7105333161010
oct20305347040
95607235040
102199244320
11a29463899
12514632a00
13290828700
1416c121c40
15cd11ce30
hex8315ce20

2199244320 has 432 divisors, whose sum is σ = 9294772032. Its totient is φ = 463656960.

The previous prime is 2199244297. The next prime is 2199244339. The reversal of 2199244320 is 234429912.

2199244320 is a `hidden beast` number, since 2 + 1 + 99 + 244 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1702875 + ... + 1704165.

It is an arithmetic number, because the mean of its divisors is an integer number (21515676).

Almost surely, 22199244320 is an apocalyptic number.

2199244320 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 2199244320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4647386016).

2199244320 is an abundant number, since it is smaller than the sum of its proper divisors (7095527712).

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

2199244320 is a wasteful number, since it uses less digits than its factorization.

2199244320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2199244320 is about 46896.1013304944. The cubic root of 2199244320 is about 1300.4425160185.

The spelling of 2199244320 in words is "two billion, one hundred ninety-nine million, two hundred forty-four thousand, three hundred twenty".