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200002220 = 225111019001
BaseRepresentation
bin10111110101111…
…00101010101100
3111221100011110122
423322330222230
5402200032340
631502424112
74645663565
oct1372745254
9457304418
10200002220
11a29946a0
1256b92038
1332588312
141c7c316c
1512859db5
hexbebcaac

200002220 has 48 divisors (see below), whose sum is σ = 462774816. Its totient is φ = 72000000.

The previous prime is 200002219. The next prime is 200002259. The reversal of 200002220 is 22200002.

200002220 is a modest number, since divided by 2220 gives 200 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 200002198 and 200002207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17720 + ... + 26720.

It is an arithmetic number, because the mean of its divisors is an integer number (9641142).

Almost surely, 2200002220 is an apocalyptic number.

200002220 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 200002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231387408).

200002220 is an abundant number, since it is smaller than the sum of its proper divisors (262772596).

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

200002220 is a wasteful number, since it uses less digits than its factorization.

200002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9122 (or 9120 counting only the distinct ones).

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

The square root of 200002220 is about 14142.2141123659. The cubic root of 200002220 is about 584.8057114077.

Adding to 200002220 its reverse (22200002), we get a palindrome (222202222).

The spelling of 200002220 in words is "two hundred million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 9001 11110 18002 22220 36004 45005 90010 99011 180020 198022 396044 495055 909101 990110 1818202 1980220 3636404 4545505 9091010 10000111 18182020 20000222 40000444 50000555 100001110 200002220