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20322303200 = 2552172364969
BaseRepresentation
bin10010111011010011…
…011011110011100000
31221110021222222010022
4102323103123303200
5313110002200300
613200321253012
71316414504243
oct227323336340
957407888108
1020322303200
118689457201
123b31a94168
131bbb3b42a4
14dab02325a
157de1d3285
hex4bb4dbce0

20322303200 has 144 divisors (see below), whose sum is σ = 54814929120. Its totient is φ = 7317995520.

The previous prime is 20322303187. The next prime is 20322303259. The reversal of 20322303200 is 230322302.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280316 + ... + 345284.

It is an arithmetic number, because the mean of its divisors is an integer number (380659230).

Almost surely, 220322303200 is an apocalyptic number.

20322303200 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 20322303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27407464560).

20322303200 is an abundant number, since it is smaller than the sum of its proper divisors (34492625920).

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

20322303200 is a wasteful number, since it uses less digits than its factorization.

20322303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65029 (or 65016 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

Adding to 20322303200 its reverse (230322302), we get a palindrome (20552625502).

The spelling of 20322303200 in words is "twenty billion, three hundred twenty-two million, three hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 23 25 32 34 40 46 50 68 80 85 92 100 115 136 160 170 184 200 230 272 340 368 391 400 425 460 544 575 680 736 782 800 850 920 1150 1360 1564 1700 1840 1955 2300 2720 3128 3400 3680 3910 4600 6256 6800 7820 9200 9775 12512 13600 15640 18400 19550 31280 39100 62560 64969 78200 129938 156400 259876 312800 324845 519752 649690 1039504 1104473 1299380 1494287 1624225 2079008 2208946 2598760 2988574 3248450 4417892 5197520 5522365 5977148 6496900 7471435 8835784 10395040 11044730 11954296 12993800 14942870 17671568 22089460 23908592 25402879 25987600 27611825 29885740 35343136 37357175 44178920 47817184 50805758 51975200 55223650 59771480 74714350 88357840 101611516 110447300 119542960 127014395 149428700 176715680 203223032 220894600 239085920 254028790 298857400 406446064 441789200 508057580 597714800 635071975 812892128 883578400 1016115160 1195429600 1270143950 2032230320 2540287900 4064460640 5080575800 10161151600 20322303200