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200003220 = 223251139833
BaseRepresentation
bin10111110101111…
…00111010010100
3111221100012211200
423322330322110
5402200100340
631502432500
74645666524
oct1372747224
9457305750
10200003220
11a299541a
1256b92730
1332588901
141c7c3684
151285a330
hexbebce94

200003220 has 72 divisors (see below), whose sum is σ = 612107496. Its totient is φ = 52856832.

The previous prime is 200003213. The next prime is 200003231. The reversal of 200003220 is 22300002.

It can be written as a sum of positive squares in 4 ways, for example, as 7056 + 199996164 = 84^2 + 14142^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 15424 + ... + 25256.

It is an arithmetic number, because the mean of its divisors is an integer number (8501493).

Almost surely, 2200003220 is an apocalyptic number.

200003220 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 200003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306053748).

200003220 is an abundant number, since it is smaller than the sum of its proper divisors (412104276).

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

200003220 is a wasteful number, since it uses less digits than its factorization.

200003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9961 (or 9956 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 200003220 is about 14142.2494674645. The cubic root of 200003220 is about 584.8066860714.

Adding to 200003220 its reverse (22300002), we get a palindrome (222303222).

It can be divided in two parts, 20000 and 3220, that added together give a triangular number (23220 = T215).

The spelling of 200003220 in words is "two hundred million, three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 678 1017 1130 1356 1695 2034 2260 3390 4068 5085 6780 9833 10170 19666 20340 29499 39332 49165 58998 88497 98330 117996 147495 176994 196660 294990 353988 442485 589980 884970 1111129 1769940 2222258 3333387 4444516 5555645 6666774 10000161 11111290 13333548 16666935 20000322 22222580 33333870 40000644 50000805 66667740 100001610 200003220