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213644411430 = 23529487504247
BaseRepresentation
bin1100011011111000110…
…0110000001000100110
3202102110020122121020220
43012332030300020212
512000020432131210
6242051421105210
721302210351112
oct3067614601046
9672406577226
10213644411430
118267377848a
12354a50b8206
13171ba0691c8
14a4aa274742
155856267c70
hex31be330226

213644411430 has 64 divisors (see below), whose sum is σ = 531517731840. Its totient is φ = 54894236544.

The previous prime is 213644411411. The next prime is 213644411473. The reversal of 213644411430 is 34114446312.

It is a super-2 number, since 2×2136444114302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213644411391 and 213644411400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171567 + ... + 675813.

It is an arithmetic number, because the mean of its divisors is an integer number (8304964560).

Almost surely, 2213644411430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213644411430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265758865920).

213644411430 is an abundant number, since it is smaller than the sum of its proper divisors (317873320410).

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

213644411430 is a wasteful number, since it uses less digits than its factorization.

213644411430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504773.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 213644411430 its reverse (34114446312), we get a palindrome (247758857742).

The spelling of 213644411430 in words is "two hundred thirteen billion, six hundred forty-four million, four hundred eleven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 487 870 974 1461 2435 2922 4870 7305 14123 14610 28246 42369 70615 84738 141230 211845 423690 504247 1008494 1512741 2521235 3025482 5042470 7563705 14623163 15127410 29246326 43869489 73115815 87738978 146231630 219347445 245568289 438694890 491136578 736704867 1227841445 1473409734 2455682890 3683524335 7121480381 7367048670 14242960762 21364441143 35607401905 42728882286 71214803810 106822205715 213644411430