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44022000 = 24353112329
BaseRepresentation
bin1010011111101…
…1100011110000
310001211112211110
42213323203300
542232201000
64211313320
71043116011
oct247734360
9101745743
1044022000
1122938420
12128ab840
139174429
145bbd008
153ce8850
hex29fb8f0

44022000 has 320 divisors, whose sum is σ = 167132160. Its totient is φ = 9856000.

The previous prime is 44021969. The next prime is 44022001. The reversal of 44022000 is 22044.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (44022001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1517986 + ... + 1518014.

It is an arithmetic number, because the mean of its divisors is an integer number (522288).

Almost surely, 244022000 is an apocalyptic number.

44022000 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 44022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83566080).

44022000 is an abundant number, since it is smaller than the sum of its proper divisors (123110160).

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

44022000 is a wasteful number, since it uses less digits than its factorization.

44022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 73 counting only the distinct ones).

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

The square root of 44022000 is about 6634.9076858687. The cubic root of 44022000 is about 353.0936628677.

Adding to 44022000 its reverse (22044), we get a palindrome (44044044).

The spelling of 44022000 in words is "forty-four million, twenty-two thousand".