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213331212 = 22333163719
BaseRepresentation
bin11001011011100…
…10110100001100
3112212102100102000
430231302310030
5414103044322
633100232300
75200166613
oct1455626414
9485370360
10213331212
11aa468996
125b53b690
13352741b3
142049287a
1513ade3ac
hexcb72d0c

213331212 has 48 divisors (see below), whose sum is σ = 570931200. Its totient is φ = 68815440.

The previous prime is 213331211. The next prime is 213331219. The reversal of 213331212 is 212133312.

213331212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is not an unprimeable number, because it can be changed into a prime (213331211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28512 + ... + 35207.

It is an arithmetic number, because the mean of its divisors is an integer number (11894400).

Almost surely, 2213331212 is an apocalyptic number.

It is an amenable number.

213331212 is an abundant number, since it is smaller than the sum of its proper divisors (357599988).

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

213331212 is a wasteful number, since it uses less digits than its factorization.

213331212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63763 (or 63755 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 213331212 is about 14605.8622477415. The cubic root of 213331212 is about 597.5186523358.

Adding to 213331212 its reverse (212133312), we get a palindrome (425464524).

The spelling of 213331212 in words is "two hundred thirteen million, three hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 3348 63719 127438 191157 254876 382314 573471 764628 1146942 1720413 1975289 2293884 3440826 3950578 5925867 6881652 7901156 11851734 17777601 23703468 35555202 53332803 71110404 106665606 213331212