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2244413024 = 25733130271
BaseRepresentation
bin1000010111000111…
…0000011001100000
312210102020222212022
42011301300121200
514044032204044
61010413321012
7106422124130
oct20561603140
95712228768
102244413024
11a51a047a7
12527796168
13299cb1a59
1417411cac0
15d20913ee
hex85c70660

2244413024 has 48 divisors (see below), whose sum is σ = 5065353216. Its totient is φ = 958953600.

The previous prime is 2244413023. The next prime is 2244413027. The reversal of 2244413024 is 4203144422.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2244412984 and 2244413002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244413023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59009 + ... + 89279.

It is an arithmetic number, because the mean of its divisors is an integer number (105528192).

Almost surely, 22244413024 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 2244413024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532676608).

2244413024 is an abundant number, since it is smaller than the sum of its proper divisors (2820940192).

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

2244413024 is a wasteful number, since it uses less digits than its factorization.

2244413024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30619 (or 30611 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 2244413024 is about 47375.2364004656. The cubic root of 2244413024 is about 1309.2852041252.

Adding to 2244413024 its reverse (4203144422), we get a palindrome (6447557446).

The spelling of 2244413024 in words is "two billion, two hundred forty-four million, four hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 331 662 1324 2317 2648 4634 5296 9268 10592 18536 30271 37072 60542 74144 121084 211897 242168 423794 484336 847588 968672 1695176 3390352 6780704 10019701 20039402 40078804 70137907 80157608 140275814 160315216 280551628 320630432 561103256 1122206512 2244413024