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200420000 = 255411911
BaseRepresentation
bin10111111001000…
…10101010100000
3111222010101112222
423330202222200
5402301420000
631515410212
74652353604
oct1374425240
9458111488
10200420000
11a314a570
1257153968
13326a3521
141c891504
15128dda85
hexbf22aa0

200420000 has 120 divisors (see below), whose sum is σ = 538477632. Its totient is φ = 72800000.

The previous prime is 200419969. The next prime is 200420023. The reversal of 200420000 is 24002.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 200420000.

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 19 ways as a sum of consecutive naturals, for example, 219545 + ... + 220455.

Almost surely, 2200420000 is an apocalyptic number.

200420000 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 200420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269238816).

200420000 is an abundant number, since it is smaller than the sum of its proper divisors (338057632).

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

200420000 is an equidigital number, since it uses as much as digits as its factorization.

200420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 200420000 is about 14156.9770784585. The cubic root of 200420000 is about 585.2126239060.

Adding to 200420000 its reverse (24002), we get a palindrome (200444002).

The spelling of 200420000 in words is "two hundred million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 911 1000 1100 1250 1375 1760 1822 2000 2200 2500 2750 3644 4000 4400 4555 5000 5500 6875 7288 8800 9110 10000 10021 11000 13750 14576 18220 20000 20042 22000 22775 27500 29152 36440 40084 44000 45550 50105 55000 72880 80168 91100 100210 110000 113875 145760 160336 182200 200420 220000 227750 250525 320672 364400 400840 455500 501050 569375 728800 801680 911000 1002100 1138750 1252625 1603360 1822000 2004200 2277500 2505250 3644000 4008400 4555000 5010500 6263125 8016800 9110000 10021000 12526250 18220000 20042000 25052500 40084000 50105000 100210000 200420000