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213551288244 = 2233711
BaseRepresentation
bin1100011011100010100…
…1100000111110110100
3202102012202102110021000
43012320221200332310
511444323112210434
6242034253123300
721300000000000
oct3067051407664
9672182373230
10213551288244
1182626153678
1235479a89530
13171a3992828
14a49bb53700
15584cec0b99
hex31b8a60fb4

213551288244 has 144 divisors (see below), whose sum is σ = 645926736000. Its totient is φ = 61014653784.

The previous prime is 213551288231. The next prime is 213551288273. The reversal of 213551288244 is 442882155312.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

213551288244 is a `hidden beast` number, since 2 + 1 + 35 + 512 + 88 + 24 + 4 = 666.

213551288244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (614400) is a multiple of the sum of its prime divisors (12).

It is a self number, because there is not a number n which added to its sum of digits gives 213551288244.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30507326889 + ... + 30507326895.

Almost surely, 2213551288244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213551288244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322963368000).

213551288244 is an abundant number, since it is smaller than the sum of its proper divisors (432375447756).

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

213551288244 is an frugal number, since it uses more digits than its factorization.

213551288244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 12 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The spelling of 213551288244 in words is "two hundred thirteen billion, five hundred fifty-one million, two hundred eighty-eight thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 343 378 441 588 686 756 882 1029 1323 1372 1764 2058 2401 2646 3087 4116 4802 5292 6174 7203 9261 9604 12348 14406 16807 18522 21609 28812 33614 37044 43218 50421 64827 67228 86436 100842 117649 129654 151263 201684 235298 259308 302526 352947 453789 470596 605052 705894 823543 907578 1058841 1411788 1647086 1815156 2117682 2470629 3176523 3294172 4235364 4941258 5764801 6353046 7411887 9882516 11529602 12706092 14823774 17294403 22235661 23059204 29647548 34588806 40353607 44471322 51883209 69177612 80707214 88942644 103766418 121060821 155649627 161414428 207532836 242121642 282475249 311299254 363182463 484243284 564950498 622598508 726364926 847425747 1089547389 1129900996 1452729852 1694851494 1977326743 2179094778 2542277241 3389702988 3954653486 4358189556 5084554482 5931980229 7626831723 7909306972 10169108964 11863960458 15253663446 17795940687 23727920916 30507326892 35591881374 53387822061 71183762748 106775644122 213551288244