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211234200 = 23352352057
BaseRepresentation
bin11001001011100…
…10110110011000
3112201110210211220
430211302312120
5413033443300
632543252040
75143314102
oct1445626630
9481423756
10211234200
11a9266421
125a8aa020
13349bb868
14200a8572
1513827da0
hexc972d98

211234200 has 48 divisors (see below), whose sum is σ = 654827880. Its totient is φ = 56328960.

The previous prime is 211234193. The next prime is 211234201. The reversal of 211234200 is 2432112.

211234200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 211234200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211234201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175429 + ... + 176628.

Almost surely, 2211234200 is an apocalyptic number.

211234200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211234200 is an abundant number, since it is smaller than the sum of its proper divisors (443593680).

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

211234200 is a wasteful number, since it uses less digits than its factorization.

211234200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352076 (or 352067 counting only the distinct ones).

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

The square root of 211234200 is about 14533.8983070613. The cubic root of 211234200 is about 595.5543641120.

Adding to 211234200 its reverse (2432112), we get a palindrome (213666312).

The spelling of 211234200 in words is "two hundred eleven million, two hundred thirty-four 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 352057 704114 1056171 1408228 1760285 2112342 2816456 3520570 4224684 5280855 7041140 8449368 8801425 10561710 14082280 17602850 21123420 26404275 35205700 42246840 52808550 70411400 105617100 211234200