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2216563360 = 2551117233221
BaseRepresentation
bin1000010000011110…
…0001001010100000
312201110212002022021
42010013201022200
514014420011420
61003540351224
7105633322564
oct20407411240
95643762267
102216563360
11a38212950
1251a3a5514
132942b076b
1417054d6a4
15ce8de7aa
hex841e12a0

2216563360 has 192 divisors, whose sum is σ = 6313676544. Its totient is φ = 725401600.

The previous prime is 2216563357. The next prime is 2216563369. The reversal of 2216563360 is 633656122.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (2216563369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 686550 + ... + 689770.

It is an arithmetic number, because the mean of its divisors is an integer number (32883732).

Almost surely, 22216563360 is an apocalyptic number.

2216563360 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 2216563360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3156838272).

2216563360 is an abundant number, since it is smaller than the sum of its proper divisors (4097113184).

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

2216563360 is a wasteful number, since it uses less digits than its factorization.

2216563360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3287 (or 3279 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 2216563360 is about 47080.3925217282. The cubic root of 2216563360 is about 1303.8472539918.

The spelling of 2216563360 in words is "two billion, two hundred sixteen million, five hundred sixty-three thousand, three hundred sixty".