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44422000 = 2453719167
BaseRepresentation
bin1010100101110…
…1001101110000
310002120212112021
42221131031300
542333001000
64224041224
71046403130
oct251351560
9102525467
1044422000
11230909a7
1212a63214
13928450c
145c84ac0
153d7711a
hex2a5d370

44422000 has 160 divisors (see below), whose sum is σ = 129991680. Its totient is φ = 14342400.

The previous prime is 44421959. The next prime is 44422009. The reversal of 44422000 is 22444.

44422000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 (44422009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265917 + ... + 266083.

It is an arithmetic number, because the mean of its divisors is an integer number (812448).

Almost surely, 244422000 is an apocalyptic number.

44422000 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 44422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64995840).

44422000 is an abundant number, since it is smaller than the sum of its proper divisors (85569680).

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

44422000 is a wasteful number, since it uses less digits than its factorization.

44422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 44422000 is about 6664.9831207588. The cubic root of 44422000 is about 354.1598860678.

Adding to 44422000 its reverse (22444), we get a palindrome (44444444).

The spelling of 44422000 in words is "forty-four million, four hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 25 28 35 38 40 50 56 70 76 80 95 100 112 125 133 140 152 167 175 190 200 250 266 280 304 334 350 380 400 475 500 532 560 665 668 700 760 835 875 950 1000 1064 1169 1330 1336 1400 1520 1670 1750 1900 2000 2128 2338 2375 2660 2672 2800 3173 3325 3340 3500 3800 4175 4676 4750 5320 5845 6346 6650 6680 7000 7600 8350 9352 9500 10640 11690 12692 13300 13360 14000 15865 16625 16700 18704 19000 20875 22211 23380 25384 26600 29225 31730 33250 33400 38000 41750 44422 46760 50768 53200 58450 63460 66500 66800 79325 83500 88844 93520 111055 116900 126920 133000 146125 158650 167000 177688 222110 233800 253840 266000 292250 317300 334000 355376 396625 444220 467600 555275 584500 634600 793250 888440 1110550 1169000 1269200 1586500 1776880 2221100 2338000 2776375 3173000 4442200 5552750 6346000 8884400 11105500 22211000 44422000