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2222004096 = 273313192137
BaseRepresentation
bin1000010001110001…
…0001011110000000
312201212002111121000
42010130101132000
514022313112341
61004253132000
7106030503024
oct20434213600
95655074530
102222004096
11a40299624
1252018a000
13295467030
14171168384
15d01168b6
hex84711780

2222004096 has 384 divisors, whose sum is σ = 7508138400. Its totient is φ = 642981888.

The previous prime is 2222003999. The next prime is 2222004119. The reversal of 2222004096 is 6904002222.

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

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 16218940 + ... + 16219076.

Almost surely, 22222004096 is an apocalyptic number.

2222004096 is a gapful number since it is divisible by the number (26) 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 2222004096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3754069200).

2222004096 is an abundant number, since it is smaller than the sum of its proper divisors (5286134304).

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

2222004096 is a wasteful number, since it uses less digits than its factorization.

2222004096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 174 counting only the distinct ones).

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

The square root of 2222004096 is about 47138.1384443637. The cubic root of 2222004096 is about 1304.9131822281.

The spelling of 2222004096 in words is "two billion, two hundred twenty-two million, four thousand, ninety-six".