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211214200 = 23521056071
BaseRepresentation
bin11001001011011…
…01111101111000
3112201102210102011
430211231331320
5413032323300
632543015304
75143201561
oct1445557570
9481383364
10211214200
11a925239a
125a89a534
13349b2722
14200a1168
1513821eba
hexc96df78

211214200 has 24 divisors (see below), whose sum is σ = 491073480. Its totient is φ = 84485600.

The previous prime is 211214197. The next prime is 211214207. The reversal of 211214200 is 2412112.

It is a happy number.

It is a super-2 number, since 2×2112142002 = 89222876563280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211214207) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 527836 + ... + 528235.

It is an arithmetic number, because the mean of its divisors is an integer number (20461395).

Almost surely, 2211214200 is an apocalyptic number.

211214200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211214200 is an abundant number, since it is smaller than the sum of its proper divisors (279859280).

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

211214200 is a wasteful number, since it uses less digits than its factorization.

211214200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056087 (or 1056078 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 211214200 is about 14533.2102441271. The cubic root of 211214200 is about 595.5355674979.

Adding to 211214200 its reverse (2412112), we get a palindrome (213626312).

The spelling of 211214200 in words is "two hundred eleven million, two hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1056071 2112142 4224284 5280355 8448568 10560710 21121420 26401775 42242840 52803550 105607100 211214200