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212112220 = 22510919721
BaseRepresentation
bin11001010010010…
…01001101011100
3112210010102021011
430221021031130
5413300042340
633014145004
75153631655
oct1451111534
9483112234
10212112220
11a9806061
125b052164
1334c383b8
142025652c
151394d0ea
hexca4935c

212112220 has 24 divisors (see below), whose sum is σ = 445889808. Its totient is φ = 84758400.

The previous prime is 212112169. The next prime is 212112223. The reversal of 212112220 is 22211212.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 212112220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16960 + ... + 26680.

It is an arithmetic number, because the mean of its divisors is an integer number (18578742).

Almost surely, 2212112220 is an apocalyptic number.

212112220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112220 is an abundant number, since it is smaller than the sum of its proper divisors (233777588).

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

212112220 is a wasteful number, since it uses less digits than its factorization.

212112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10821 (or 10819 counting only the distinct ones).

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

The square root of 212112220 is about 14564.0729193451. The cubic root of 212112220 is about 596.3783875586.

Adding to 212112220 its reverse (22211212), we get a palindrome (234323432).

It can be divided in two parts, 2121 and 12220, that added together give a palindrome (14341).

The spelling of 212112220 in words is "two hundred twelve million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 1091 2182 4364 5455 9721 10910 19442 21820 38884 48605 97210 194420 10605611 21211222 42422444 53028055 106056110 212112220