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44226000 = 243553713
BaseRepresentation
bin1010100010110…
…1010111010000
310002012220200000
42220231113100
542310213000
64215530000
71044625530
oct250552720
9102186600
1044226000
1122a67715
1212989900
139216240
145c334c0
153d39000
hex2a2d5d0

44226000 has 480 divisors, whose sum is σ = 197154048. Its totient is φ = 9331200.

The previous prime is 44225927. The next prime is 44226001. The reversal of 44226000 is 62244.

44226000 is a `hidden beast` number, since 44 + 22 + 600 + 0 = 666.

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 (44226001) 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, 3401994 + ... + 3402006.

Almost surely, 244226000 is an apocalyptic number.

44226000 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 44226000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98577024).

44226000 is an abundant number, since it is smaller than the sum of its proper divisors (152928048).

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

44226000 is a wasteful number, since it uses less digits than its factorization.

44226000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 30 counting only the distinct ones).

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

The square root of 44226000 is about 6650.2631526880. The cubic root of 44226000 is about 353.6382400308.

Adding to 44226000 its reverse (62244), we get a palindrome (44288244).

The spelling of 44226000 in words is "forty-four million, two hundred twenty-six thousand".