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213330510 = 23451032557
BaseRepresentation
bin11001011011100…
…10101001001110
3112212102022110000
430231302221032
5414103034020
633100225130
75200164561
oct1455625116
9485368400
10213330510
11aa468408
125b53b1a6
1335273a93
14204924d8
1513ade090
hexcb72a4e

213330510 has 80 divisors (see below), whose sum is σ = 579417696. Its totient is φ = 56313792.

The previous prime is 213330473. The next prime is 213330517. The reversal of 213330510 is 15033312.

213330510 is digitally balanced in base 3, 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (213330517) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82152 + ... + 84708.

Almost surely, 2213330510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213330510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289708848).

213330510 is an abundant number, since it is smaller than the sum of its proper divisors (366087186).

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

213330510 is a wasteful number, since it uses less digits than its factorization.

213330510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 213330510 is about 14605.8382162750. The cubic root of 213330510 is about 597.5179969253.

Adding to 213330510 its reverse (15033312), we get a palindrome (228363822).

The spelling of 213330510 in words is "two hundred thirteen million, three hundred thirty thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 103 135 162 206 270 309 405 515 618 810 927 1030 1545 1854 2557 2781 3090 4635 5114 5562 7671 8343 9270 12785 13905 15342 16686 23013 25570 27810 38355 41715 46026 69039 76710 83430 115065 138078 207117 230130 263371 345195 414234 526742 690390 790113 1035585 1316855 1580226 2071170 2370339 2633710 3950565 4740678 7111017 7901130 11851695 14222034 21333051 23703390 35555085 42666102 71110170 106665255 213330510