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20444200 = 2352717859
BaseRepresentation
bin100110111111…
…1010000101000
31102110200011121
41031333100220
520213203300
62010105024
7335526040
oct115772050
942420147
1020444200
11105a4037
126a1b174
13430a67a
142a02720
151bdc81a
hex137f428

20444200 has 96 divisors (see below), whose sum is σ = 57585600. Its totient is φ = 6589440.

The previous prime is 20444191. The next prime is 20444213. The reversal of 20444200 is 244402.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 23371 + ... + 24229.

It is an arithmetic number, because the mean of its divisors is an integer number (599850).

Almost surely, 220444200 is an apocalyptic number.

20444200 is a gapful number since it is divisible by the number (20) 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 20444200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28792800).

20444200 is an abundant number, since it is smaller than the sum of its proper divisors (37141400).

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

20444200 is a wasteful number, since it uses less digits than its factorization.

20444200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 890 counting only the distinct ones).

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

The square root of 20444200 is about 4521.5262909774. The cubic root of 20444200 is about 273.4366388544.

Adding to 20444200 its reverse (244402), we get a palindrome (20688602).

The spelling of 20444200 in words is "twenty million, four hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 136 140 170 175 200 238 280 340 350 425 476 595 680 700 850 859 952 1190 1400 1700 1718 2380 2975 3400 3436 4295 4760 5950 6013 6872 8590 11900 12026 14603 17180 21475 23800 24052 29206 30065 34360 42950 48104 58412 60130 73015 85900 102221 116824 120260 146030 150325 171800 204442 240520 292060 300650 365075 408884 511105 584120 601300 730150 817768 1022210 1202600 1460300 2044420 2555525 2920600 4088840 5111050 10222100 20444200