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211222030200 = 23352352036717
BaseRepresentation
bin1100010010110111010…
…0000110011101111000
3202012012102111212220120
43010231310012131320
511430040314431300
6241011205053240
721155164430136
oct3045564063570
9665172455816
10211222030200
1181640369625
1234b299b7220
1316bc224532c
14a31a66a756
1557637703a0
hex312dd06778

211222030200 has 48 divisors (see below), whose sum is σ = 654788295480. Its totient is φ = 56325874560.

The previous prime is 211222030177. The next prime is 211222030231. The reversal of 211222030200 is 2030222112.

It is a happy number.

211222030200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112220302002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211222030200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176017759 + ... + 176018958.

Almost surely, 2211222030200 is an apocalyptic number.

211222030200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211222030200 is an abundant number, since it is smaller than the sum of its proper divisors (443566265280).

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

211222030200 is a wasteful number, since it uses less digits than its factorization.

211222030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352036736 (or 352036727 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 211222030200 its reverse (2030222112), we get a palindrome (213252252312).

The spelling of 211222030200 in words is "two hundred eleven billion, two hundred twenty-two million, thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 352036717 704073434 1056110151 1408146868 1760183585 2112220302 2816293736 3520367170 4224440604 5280550755 7040734340 8448881208 8800917925 10561101510 14081468680 17601835850 21122203020 26402753775 35203671700 42244406040 52805507550 70407343400 105611015100 211222030200