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4400022000 = 2435311163409
BaseRepresentation
bin1000001100100001…
…10000000111110000
3102100122102021110210
410012100300013300
533002401201000
62004335424120
7214015366323
oct40620600760
912318367423
104400022000
111958774720
12a29685040
1355177001a
142da5227ba
151ab440350
hex1064301f0

4400022000 has 320 divisors, whose sum is σ = 15608286720. Its totient is φ = 1057536000.

The previous prime is 4400021993. The next prime is 4400022031. The reversal of 4400022000 is 2200044.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10757796 + ... + 10758204.

It is an arithmetic number, because the mean of its divisors is an integer number (48775896).

Almost surely, 24400022000 is an apocalyptic number.

4400022000 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 4400022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7804143360).

4400022000 is an abundant number, since it is smaller than the sum of its proper divisors (11208264720).

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

4400022000 is a wasteful number, since it uses less digits than its factorization.

4400022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 4400022000 is about 66332.6616381402. The cubic root of 4400022000 is about 1638.6452722676.

Adding to 4400022000 its reverse (2200044), we get a palindrome (4402222044).

The spelling of 4400022000 in words is "four billion, four hundred million, twenty-two thousand".