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44226000000 = 273556713
BaseRepresentation
bin101001001100000100…
…110011010010000000
311020011012000120200000
4221030010303102000
51211033324000000
632152300400000
73123650540340
oct511404632200
9136135016600
1044226000000
1117835473426
1286a3246000
13422a762690
1421d7950d20
15123ca00000
hexa4c133480

44226000000 has 1344 divisors, whose sum is σ = 203041151040. Its totient is φ = 9331200000.

The previous prime is 44225999977. The next prime is 44226000001. The reversal of 44226000000 is 62244.

44226000000 is a `hidden beast` number, since 44 + 22 + 600 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (44226000001) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3401999994 + ... + 3402000006.

It is an arithmetic number, because the mean of its divisors is an integer number (151072285).

Almost surely, 244226000000 is an apocalyptic number.

44226000000 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 44226000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101520575520).

44226000000 is an abundant number, since it is smaller than the sum of its proper divisors (158815151040).

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

44226000000 is an frugal number, since it uses more digits than its factorization.

44226000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 44226000000 its reverse (62244), we get a palindrome (44226062244).

The spelling of 44226000000 in words is "forty-four billion, two hundred twenty-six million", and thus it is an aban number.