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213342230214 = 23437325999
BaseRepresentation
bin1100011010110000110…
…0000001011011000110
3202101200012001012120000
43012230030001123012
511443411102331324
6242001424222130
721261551015241
oct3065414013306
9671605035500
10213342230214
1182529144243
123541ba6a946
131716c586659
14a47c094258
1558399779c9
hex31ac3016c6

213342230214 has 80 divisors (see below), whose sum is σ = 491342280000. Its totient is φ = 69189413328.

The previous prime is 213342230207. The next prime is 213342230221. The reversal of 213342230214 is 412032243312.

213342230214 is a `hidden beast` number, since 2 + 1 + 3 + 342 + 2 + 302 + 14 = 666.

It is an interprime number because it is at equal distance from previous prime (213342230207) and next prime (213342230221).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8192787 + ... + 8218785.

It is an arithmetic number, because the mean of its divisors is an integer number (6141778500).

Almost surely, 2213342230214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213342230214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245671140000).

213342230214 is an abundant number, since it is smaller than the sum of its proper divisors (278000049786).

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

213342230214 is an frugal number, since it uses more digits than its factorization.

213342230214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26124 (or 26041 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 213342230214 its reverse (412032243312), we get a palindrome (625374473526).

It can be divided in two parts, 213342 and 230214, that added together give a square (443556 = 6662).

The spelling of 213342230214 in words is "two hundred thirteen billion, three hundred forty-two million, two hundred thirty thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 333 666 999 1369 1998 2738 2997 4107 5994 8214 12321 24642 25999 36963 50653 51998 73926 77997 101306 110889 151959 155994 221778 233991 303918 455877 467982 701973 911754 961963 1367631 1403946 1923926 2105919 2735262 2885889 4102893 4211838 5771778 8205786 8657667 17315334 25973001 35592631 51946002 71185262 77919003 106777893 155838006 213555786 320333679 640667358 961001037 1316927347 1922002074 2633854694 2883003111 3950782041 5766006222 7901564082 11852346123 23704692246 35557038369 71114076738 106671115107 213342230214