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2224375296 = 293111321941
BaseRepresentation
bin1000010010010101…
…0100011000000000
312202000112222021020
42010211110120000
514023420002141
61004420025440
7106056610113
oct20445243000
95660488236
102224375296
11a416690a0
12520b32280
13295ab7400
141715c457a
15d0434266
hex84954600

2224375296 has 480 divisors, whose sum is σ = 7548266880. Its totient is φ = 575078400.

The previous prime is 2224375273. The next prime is 2224375327. The reversal of 2224375296 is 6925734222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54253036 + ... + 54253076.

It is an arithmetic number, because the mean of its divisors is an integer number (15725556).

Almost surely, 22224375296 is an apocalyptic number.

2224375296 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 2224375296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774133440).

2224375296 is an abundant number, since it is smaller than the sum of its proper divisors (5323891584).

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

2224375296 is a wasteful number, since it uses less digits than its factorization.

2224375296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 89 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 2224375296 is about 47163.2833462642. The cubic root of 2224375296 is about 1305.3771942940.

The spelling of 2224375296 in words is "two billion, two hundred twenty-four million, three hundred seventy-five thousand, two hundred ninety-six".