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211214212 = 221122811553
BaseRepresentation
bin11001001011011…
…01111110000100
3112201102210102121
430211231332010
5413032323322
632543015324
75143201606
oct1445557604
9481383377
10211214212
11a9252400
125a89a544
13349b2731
14200a1176
1513821ec7
hexc96df84

211214212 has 36 divisors (see below), whose sum is σ = 407990268. Its totient is φ = 95603200.

The previous prime is 211214207. The next prime is 211214233. The reversal of 211214212 is 212412112.

It can be written as a sum of positive squares in 2 ways, for example, as 76282756 + 134931456 = 8734^2 + 11616^2 .

It is a super-2 number, since 2×2112142122 = 89222886701561888, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135228 + ... + 136780.

It is an arithmetic number, because the mean of its divisors is an integer number (11333063).

Almost surely, 2211214212 is an apocalyptic number.

211214212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211214212 is a deficient number, since it is larger than the sum of its proper divisors (196776056).

211214212 is a wasteful number, since it uses less digits than its factorization.

211214212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1847 counting only the distinct ones).

The product of its digits is 64, while the sum is 16.

The square root of 211214212 is about 14533.2106569746. The cubic root of 211214212 is about 595.5355787762.

Adding to 211214212 its reverse (212412112), we get a palindrome (423626324).

The spelling of 211214212 in words is "two hundred eleven million, two hundred fourteen thousand, two hundred twelve".

Divisors: 1 2 4 11 22 44 121 242 281 484 562 1124 1553 3091 3106 6182 6212 12364 17083 34001 34166 68002 68332 136004 187913 375826 436393 751652 872786 1745572 4800323 9600646 19201292 52803553 105607106 211214212