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200200220220 = 22357211133115361
BaseRepresentation
bin1011101001110011011…
…1001110111000111100
3201010202022000221000010
42322130313032320330
511240002224021340
6231545401303220
720315101536300
oct2723467167074
9633668027003
10200200220220
11779a4894660
1232972794b10
1315b56952790
14999291dd00
15531ad23b80
hex2e9cdcee3c

200200220220 has 576 divisors, whose sum is σ = 790844608512. Its totient is φ = 37158912000.

The previous prime is 200200220161. The next prime is 200200220261. The reversal of 200200220220 is 22022002002.

It is a super-2 number, since 2×2002002202202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

200200220220 is a modest number, since divided by 220220 gives 200200 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 200200220196 and 200200220205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13025340 + ... + 13040700.

It is an arithmetic number, because the mean of its divisors is an integer number (1372994112).

Almost surely, 2200200220220 is an apocalyptic number.

200200220220 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 200200220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395422304256).

200200220220 is an abundant number, since it is smaller than the sum of its proper divisors (590644388292).

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

200200220220 is a wasteful number, since it uses less digits than its factorization.

200200220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15442 (or 15433 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 200200220220 its reverse (22022002002), we get a palindrome (222222222222).

The spelling of 200200220220 in words is "two hundred billion, two hundred million, two hundred twenty thousand, two hundred twenty".