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20422213200 = 2432525672837
BaseRepresentation
bin10011000001010000…
…100011111001010000
31221201020222220212200
4103001100203321100
5313311041310300
613214250523200
71322036643114
oct230120437120
957636886780
1020422213200
11872a897054
123b5b436500
131c05cc5b2c
14dba3cd744
157e7d6b200
hex4c1423e50

20422213200 has 90 divisors (see below), whose sum is σ = 70870765134. Its totient is φ = 5445922560.

The previous prime is 20422213193. The next prime is 20422213243. The reversal of 20422213200 is 231222402.

20422213200 is a `hidden beast` number, since 20 + 422 + 21 + 3 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1158993936 + 19263219264 = 34044^2 + 138792^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 2832819 + ... + 2840018.

Almost surely, 220422213200 is an apocalyptic number.

20422213200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20422213200 is an abundant number, since it is smaller than the sum of its proper divisors (50448551934).

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

20422213200 is a wasteful number, since it uses less digits than its factorization.

20422213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5672861 (or 5672847 counting only the distinct ones).

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

Adding to 20422213200 its reverse (231222402), we get a palindrome (20653435602).

The spelling of 20422213200 in words is "twenty billion, four hundred twenty-two million, two hundred thirteen thousand, two hundred".

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 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 5672837 11345674 17018511 22691348 28364185 34037022 45382696 51055533 56728370 68074044 85092555 90765392 102111066 113456740 136148088 141820925 170185110 204222132 226913480 255277665 272296176 283641850 340370220 408444264 425462775 453826960 510555330 567283700 680740440 816888528 850925550 1021110660 1134567400 1276388325 1361480880 1701851100 2042221320 2269134800 2552776650 3403702200 4084442640 5105553300 6807404400 10211106600 20422213200