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2223813312 = 263371571171
BaseRepresentation
bin1000010010001100…
…1011001011000000
312201222111102101000
42010203023023000
514023244011222
61004400012000
7106052046510
oct20443131300
95658442330
102223813312
11a41314946
12520901000
1329594b686
141714b9840
15d03729ac
hex848cb2c0

2223813312 has 224 divisors, whose sum is σ = 7525552640. Its totient is φ = 630789120.

The previous prime is 2223813301. The next prime is 2223813337. The reversal of 2223813312 is 2133183222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1898487 + ... + 1899657.

Almost surely, 22223813312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2223813312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3762776320).

2223813312 is an abundant number, since it is smaller than the sum of its proper divisors (5301739328).

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

2223813312 is a wasteful number, since it uses less digits than its factorization.

2223813312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1340 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 2223813312 is about 47157.3251149808. The cubic root of 2223813312 is about 1305.2672513828.

Adding to 2223813312 its reverse (2133183222), we get a palindrome (4356996534).

The spelling of 2223813312 in words is "two billion, two hundred twenty-three million, eight hundred thirteen thousand, three hundred twelve".