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4422442400 = 25525528053
BaseRepresentation
bin1000001111001100…
…10001110110100000
3102102012121100110222
410013212101312200
533024121124100
62010500142212
7214410066035
oct40746216640
912365540428
104422442400
11196a398482
12a35097968
135562c002c
142dd4bb38c
151ad3bd485
hex107991da0

4422442400 has 36 divisors (see below), whose sum is σ = 10796289462. Its totient is φ = 1768976640.

The previous prime is 4422442363. The next prime is 4422442447. The reversal of 4422442400 is 42442244.

It can be written as a sum of positive squares in 3 ways, for example, as 3978581776 + 443860624 = 63076^2 + 21068^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4422442400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2763227 + ... + 2764826.

Almost surely, 24422442400 is an apocalyptic number.

4422442400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4422442400 is an abundant number, since it is smaller than the sum of its proper divisors (6373847062).

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

4422442400 is a wasteful number, since it uses less digits than its factorization.

4422442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5528073 (or 5528060 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

The square root of 4422442400 is about 66501.4466008071. The cubic root of 4422442400 is about 1641.4238081430.

Adding to 4422442400 its reverse (42442244), we get a palindrome (4464884644).

The spelling of 4422442400 in words is "four billion, four hundred twenty-two million, four hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 5528053 11056106 22112212 27640265 44224424 55280530 88448848 110561060 138201325 176897696 221122120 276402650 442244240 552805300 884488480 1105610600 2211221200 4422442400