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2244866112 = 263219415003
BaseRepresentation
bin1000010111001101…
…1111000001000000
312210110010000101100
42011303133001000
514044141203422
61010431134400
7106426022106
oct20563370100
95713100340
102244866112
11a52194155
12527974400
1329a110058
141741d9c76
15d21307ac
hex85cdf040

2244866112 has 168 divisors, whose sum is σ = 6939747360. Its totient is φ = 691476480.

The previous prime is 2244866083. The next prime is 2244866119. The reversal of 2244866112 is 2116684422.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (2244866119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 446203 + ... + 451205.

It is an arithmetic number, because the mean of its divisors is an integer number (41308020).

Almost surely, 22244866112 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 2244866112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3469873680).

2244866112 is an abundant number, since it is smaller than the sum of its proper divisors (4694881248).

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

2244866112 is a wasteful number, since it uses less digits than its factorization.

2244866112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5081 (or 5068 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2244866112 is about 47380.0180666914. The cubic root of 2244866112 is about 1309.3733016210.

The spelling of 2244866112 in words is "two billion, two hundred forty-four million, eight hundred sixty-six thousand, one hundred twelve".