Search a number
-
+
212223220 = 225111019551
BaseRepresentation
bin11001010011001…
…00010011110100
3112210100001112021
430221210103310
5413312120340
633020402524
75154603406
oct1451442364
9483301467
10212223220
11a98814a0
125b0a6444
1334c76a91
1420284b76
1513970e4a
hexca644f4

212223220 has 48 divisors (see below), whose sum is σ = 491049216. Its totient is φ = 76400000.

The previous prime is 212223197. The next prime is 212223227. The reversal of 212223220 is 22322212.

It is a junction number, because it is equal to n+sod(n) for n = 212223194 and 212223203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212223227) 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 15 ways as a sum of consecutive naturals, for example, 17445 + ... + 26995.

It is an arithmetic number, because the mean of its divisors is an integer number (10230192).

Almost surely, 2212223220 is an apocalyptic number.

212223220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245524608).

212223220 is an abundant number, since it is smaller than the sum of its proper divisors (278825996).

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

212223220 is a wasteful number, since it uses less digits than its factorization.

212223220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9672 (or 9670 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 212223220 is about 14567.8831681202. The cubic root of 212223220 is about 596.4823992575.

Adding to 212223220 its reverse (22322212), we get a palindrome (234545432).

It can be divided in two parts, 21222 and 3220, that added together give a palindrome (24442).

The spelling of 212223220 in words is "two hundred twelve million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 9551 11110 19102 22220 38204 47755 95510 105061 191020 210122 420244 525305 964651 1050610 1929302 2101220 3858604 4823255 9646510 10611161 19293020 21222322 42444644 53055805 106111610 212223220