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2224989312 = 273713411553
BaseRepresentation
bin1000010010011110…
…1010010010000000
312202001201011112120
42010213222102000
514024044124222
61004441124240
7106065045210
oct20447522200
95661634476
102224989312
11a41a48447
12521189680
13295c70a30
14171704240
15d050615c
hex849ea480

2224989312 has 256 divisors, whose sum is σ = 7456216320. Its totient is φ = 572129280.

The previous prime is 2224989311. The next prime is 2224989317. The reversal of 2224989312 is 2139894222.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2224989311) by changing a digit.

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, 1431928 + ... + 1433480.

It is an arithmetic number, because the mean of its divisors is an integer number (29125845).

Almost surely, 22224989312 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 2224989312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3728108160).

2224989312 is an abundant number, since it is smaller than the sum of its proper divisors (5231227008).

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

2224989312 is a wasteful number, since it uses less digits than its factorization.

2224989312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1619 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 2224989312 is about 47169.7923675736. The cubic root of 2224989312 is about 1305.4972952418.

The spelling of 2224989312 in words is "two billion, two hundred twenty-four million, nine hundred eighty-nine thousand, three hundred twelve".