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213324912 = 24328291787
BaseRepresentation
bin11001011011100…
…01010001110000
3112212102000202200
430231301101300
5414102344122
633100143200
75200142343
oct1455612160
9485360680
10213324912
11aa464189
125b537b00
1335271378
142049045a
1513adc5ac
hexcb71470

213324912 has 60 divisors (see below), whose sum is σ = 598068120. Its totient is φ = 70982784.

The previous prime is 213324911. The next prime is 213324929. The reversal of 213324912 is 219423312.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213324911) 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 11 ways as a sum of consecutive naturals, for example, 118483 + ... + 120269.

It is an arithmetic number, because the mean of its divisors is an integer number (9967802).

Almost surely, 2213324912 is an apocalyptic number.

It is an amenable number.

213324912 is an abundant number, since it is smaller than the sum of its proper divisors (384743208).

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

213324912 is a wasteful number, since it uses less digits than its factorization.

213324912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 2621 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 213324912 is about 14605.6465793199. The cubic root of 213324912 is about 597.5127703952.

It can be divided in two parts, 21332 and 4912, that added together give a square (26244 = 1622).

The spelling of 213324912 in words is "two hundred thirteen million, three hundred twenty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 829 1658 1787 2487 3316 3574 4974 5361 6632 7148 7461 9948 10722 13264 14296 14922 16083 19896 21444 28592 29844 32166 39792 42888 59688 64332 85776 119376 128664 257328 1481423 2962846 4444269 5925692 8888538 11851384 13332807 17777076 23702768 26665614 35554152 53331228 71108304 106662456 213324912