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44222220000 = 253354711699
BaseRepresentation
bin101001001011110110…
…011000011011100000
311020010220220112111000
4221023312120123200
51211031342020000
632152043352000
73123603445050
oct511366303340
9136126815430
1044222220000
1117833321462
1286a1b22600
134229a3acaa
1421d7249560
15123c505000
hexa4bd986e0

44222220000 has 480 divisors, whose sum is σ = 184216032000. Its totient is φ = 10107072000.

The previous prime is 44222219983. The next prime is 44222220001. The reversal of 44222220000 is 2222244.

44222220000 is a `hidden beast` number, since 442 + 2 + 2 + 220 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

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 (44222220001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3774151 + ... + 3785849.

It is an arithmetic number, because the mean of its divisors is an integer number (383783400).

Almost surely, 244222220000 is an apocalyptic number.

44222220000 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 44222220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92108016000).

44222220000 is an abundant number, since it is smaller than the sum of its proper divisors (139993812000).

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

44222220000 is a wasteful number, since it uses less digits than its factorization.

44222220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11745 (or 11716 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 44222220000 its reverse (2222244), we get a palindrome (44224442244).

The spelling of 44222220000 in words is "forty-four billion, two hundred twenty-two million, two hundred twenty thousand".