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2223486720 = 283357213101
BaseRepresentation
bin1000010010000111…
…1011011100000000
312201221212211101000
42010201323130000
514023203033340
61004345012000
7106046216400
oct20441733400
95657784330
102223486720
11a41111534
12520784000
13295865b20
14171432800
15d030ad30
hex8487b700

2223486720 has 864 divisors, whose sum is σ = 9982405440. Its totient is φ = 464486400.

The previous prime is 2223486719. The next prime is 2223486739. The reversal of 2223486720 is 276843222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 22014670 + ... + 22014770.

It is an arithmetic number, because the mean of its divisors is an integer number (11553710).

Almost surely, 22223486720 is an apocalyptic number.

2223486720 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 2223486720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4991202720).

2223486720 is an abundant number, since it is smaller than the sum of its proper divisors (7758918720).

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

2223486720 is a wasteful number, since it uses less digits than its factorization.

2223486720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2223486720 is about 47153.8621960068. The cubic root of 2223486720 is about 1305.2033505284.

The spelling of 2223486720 in words is "two billion, two hundred twenty-three million, four hundred eighty-six thousand, seven hundred twenty".