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213333330 = 235719127421
BaseRepresentation
bin11001011011100…
…11010101010010
3112212102110022110
430231303111102
5414103131310
633100250150
75200206030
oct1455632522
9485373273
10213333330
11aa46a541
125b540956
1335275152
1420493550
1513aded20
hexcb73552

213333330 has 128 divisors (see below), whose sum is σ = 622264320. Its totient is φ = 45722880.

The previous prime is 213333319. The next prime is 213333331. The reversal of 213333330 is 33333312.

It is a super-2 number, since 2×2133333302 = 91022219377777800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 213333297 and 213333306.

It is not an unprimeable number, because it can be changed into a prime (213333331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 506520 + ... + 506940.

It is an arithmetic number, because the mean of its divisors is an integer number (4861440).

Almost surely, 2213333330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213333330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311132160).

213333330 is an abundant number, since it is smaller than the sum of its proper divisors (408930990).

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

213333330 is a wasteful number, since it uses less digits than its factorization.

213333330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584.

The product of its (nonzero) digits is 1458, while the sum is 21.

The square root of 213333330 is about 14605.9347526956. The cubic root of 213333330 is about 597.5206297622.

Adding to 213333330 its reverse (33333312), we get a palindrome (246666642).

The spelling of 213333330 in words is "two hundred thirteen million, three hundred thirty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 127 133 190 210 254 266 285 381 399 421 570 635 665 762 798 842 889 1263 1270 1330 1778 1905 1995 2105 2413 2526 2667 2947 3810 3990 4210 4445 4826 5334 5894 6315 7239 7999 8841 8890 12065 12630 13335 14478 14735 15998 16891 17682 23997 24130 26670 29470 33782 36195 39995 44205 47994 50673 53467 55993 72390 79990 84455 88410 101346 106934 111986 119985 160401 167979 168910 239970 253365 267335 279965 320802 335958 374269 506730 534670 559930 748538 802005 839895 1015873 1122807 1604010 1679790 1871345 2031746 2245614 3047619 3742690 5079365 5614035 6095238 7111111 10158730 11228070 14222222 15238095 21333333 30476190 35555555 42666666 71111110 106666665 213333330