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4444222200 = 233521159101113
BaseRepresentation
bin1000010001110010…
…10111001011111000
3102110201120212202020
410020321113023320
533100210102300
62012555034440
7215063160015
oct41071271370
912421525666
104444222200
111980713a10
12a4043ba20
1355a9775a2
1430234a70c
151b02718a0
hex108e572f8

4444222200 has 384 divisors, whose sum is σ = 15572217600. Its totient is φ = 1039360000.

The previous prime is 4444222171. The next prime is 4444222201. The reversal of 4444222200 is 22224444.

It is a super-3 number, since 3×44442222003 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444222201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39329344 + ... + 39329456.

It is an arithmetic number, because the mean of its divisors is an integer number (40552650).

Almost surely, 24444222200 is an apocalyptic number.

4444222200 is a gapful number since it is divisible by the number (40) 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 4444222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7786108800).

4444222200 is an abundant number, since it is smaller than the sum of its proper divisors (11127995400).

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

4444222200 is a wasteful number, since it uses less digits than its factorization.

4444222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4444222200 is about 66664.9998124953. Note that the first 3 decimals coincide. The cubic root of 4444222200 is about 1644.1139773336.

Adding to 4444222200 its reverse (22224444), we get a palindrome (4466446644).

It can be divided in two parts, 44 and 44222200, that added together give a palindrome (44222244).

The spelling of 4444222200 in words is "four billion, four hundred forty-four million, two hundred twenty-two thousand, two hundred".