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2444200000 = 2655112101
BaseRepresentation
bin1001000110101111…
…1000100001000000
320022100012020001221
42101223320201000
520001203400000
61042311404424
7114366233344
oct22153704100
96270166057
102444200000
111044761700
12582683714
132cc4c30b8
14192887624
15e48a761a
hex91af8840

2444200000 has 252 divisors, whose sum is σ = 6729577092. Its totient is φ = 880000000.

The previous prime is 2444199997. The next prime is 2444200001. The reversal of 2444200000 is 24442.

It can be written as a sum of positive squares in 6 ways, for example, as 1372554304 + 1071645696 = 37048^2 + 32736^2 .

It is a super-2 number, since 2×24442000002 = 11948227280000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2444200001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24199950 + ... + 24200050.

It is an arithmetic number, because the mean of its divisors is an integer number (26704671).

Almost surely, 22444200000 is an apocalyptic number.

2444200000 is a gapful number since it is divisible by the number (20) 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 2444200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3364788546).

2444200000 is an abundant number, since it is smaller than the sum of its proper divisors (4285377092).

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

2444200000 is an equidigital number, since it uses as much as digits as its factorization.

2444200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2444200000 is about 49438.8511193373. The cubic root of 2444200000 is about 1347.0351027103.

Adding to 2444200000 its reverse (24442), we get a palindrome (2444224442).

2444200000 divided by its reverse (24442) gives a 5-th power (100000 = 105).

The spelling of 2444200000 in words is "two billion, four hundred forty-four million, two hundred thousand".