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213331220 = 22589119849
BaseRepresentation
bin11001011011100…
…10110100010100
3112212102100102022
430231302310110
5414103044340
633100232312
75200166624
oct1455626424
9485370368
10213331220
11aa4689a3
125b53b698
13352741bb
1420492884
1513ade3b5
hexcb72d14

213331220 has 24 divisors (see below), whose sum is σ = 453033000. Its totient is φ = 84372992.

The previous prime is 213331219. The next prime is 213331229. The reversal of 213331220 is 22133312.

213331220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 988036 + 212343184 = 994^2 + 14572^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213331229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58145 + ... + 61704.

It is an arithmetic number, because the mean of its divisors is an integer number (18876375).

Almost surely, 2213331220 is an apocalyptic number.

213331220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213331220 is an abundant number, since it is smaller than the sum of its proper divisors (239701780).

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

213331220 is a wasteful number, since it uses less digits than its factorization.

213331220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119947 (or 119945 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 213331220 is about 14605.8625216041. The cubic root of 213331220 is about 597.5186598049.

Adding to 213331220 its reverse (22133312), we get a palindrome (235464532).

The spelling of 213331220 in words is "two hundred thirteen million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 89 178 356 445 890 1780 119849 239698 479396 599245 1198490 2396980 10666561 21333122 42666244 53332805 106665610 213331220