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20322000 = 2432531129
BaseRepresentation
bin100110110000…
…1011011010000
31102020110112200
41031201123100
520200301000
62003323200
7334506546
oct115413320
942213480
1020322000
1110520246
126980500
134296b6a
1429add96
151bb6500
hex13616d0

20322000 has 120 divisors (see below), whose sum is σ = 71040840. Its totient is φ = 5414400.

The previous prime is 20321981. The next prime is 20322017. The reversal of 20322000 is 22302.

It can be written as a sum of positive squares in 4 ways, for example, as 3968064 + 16353936 = 1992^2 + 4044^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17436 + ... + 18564.

It is an arithmetic number, because the mean of its divisors is an integer number (592007).

Almost surely, 220322000 is an apocalyptic number.

20322000 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 20322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35520420).

20322000 is an abundant number, since it is smaller than the sum of its proper divisors (50718840).

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

20322000 is a wasteful number, since it uses less digits than its factorization.

20322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 20322000 is about 4507.9929015028. The cubic root of 20322000 is about 272.8907504737.

Adding to 20322000 its reverse (22302), we get a palindrome (20344302).

The spelling of 20322000 in words is "twenty million, three hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1129 1200 1500 1800 2000 2250 2258 3000 3387 3600 4500 4516 5645 6000 6774 9000 9032 10161 11290 13548 16935 18000 18064 20322 22580 27096 28225 33870 40644 45160 50805 54192 56450 67740 81288 84675 90320 101610 112900 135480 141125 162576 169350 203220 225800 254025 270960 282250 338700 406440 423375 451600 508050 564500 677400 812880 846750 1016100 1129000 1270125 1354800 1693500 2032200 2258000 2540250 3387000 4064400 5080500 6774000 10161000 20322000