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2223298560 = 2113573211
BaseRepresentation
bin1000010010000100…
…1101100000000000
312201221112021021010
42010201031200000
514023131023220
61004341000520
7106044504000
oct20441154000
95657467233
102223298560
11a40aa312a
125206b3140
132957cb2a2
141713c4000
15d02c01e0
hex8484d800

2223298560 has 384 divisors, whose sum is σ = 8334144000. Its totient is φ = 505774080.

The previous prime is 2223298559. The next prime is 2223298577. The reversal of 2223298560 is 658923222.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 10536855 + ... + 10537065.

It is an arithmetic number, because the mean of its divisors is an integer number (21703500).

Almost surely, 22223298560 is an apocalyptic number.

2223298560 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 2223298560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4167072000).

2223298560 is an abundant number, since it is smaller than the sum of its proper divisors (6110845440).

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

2223298560 is an equidigital number, since it uses as much as digits as its factorization.

2223298560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 2223298560 is about 47151.8669831853. The cubic root of 2223298560 is about 1305.1665323802.

The spelling of 2223298560 in words is "two billion, two hundred twenty-three million, two hundred ninety-eight thousand, five hundred sixty".