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214050432232 = 237213172470801
BaseRepresentation
bin1100011101011001100…
…1100110010011101000
3202110111112122121002101
43013112121212103220
512001333402312412
6242200003343144
721315240440200
oct3072631462350
9673445577071
10214050432232
118286198596a
1235599081ab4
13172532080c0
14a508165400
15587bc1a457
hex31d66664e8

214050432232 has 96 divisors (see below), whose sum is σ = 532358998920. Its totient is φ = 79698124800.

The previous prime is 214050432191. The next prime is 214050432263. The reversal of 214050432232 is 232234050412.

214050432232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 195953187556 + 18097244676 = 442666^2 + 134526^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 214050432232.

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 23 ways as a sum of consecutive naturals, for example, 1148769 + ... + 1322032.

Almost surely, 2214050432232 is an apocalyptic number.

It is an amenable number.

214050432232 is an abundant number, since it is smaller than the sum of its proper divisors (318308566688).

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

214050432232 is a wasteful number, since it uses less digits than its factorization.

214050432232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470851 (or 2470840 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 214050432232 its reverse (232234050412), we get a palindrome (446284482644).

The spelling of 214050432232 in words is "two hundred fourteen billion, fifty million, four hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 49 52 56 68 91 98 104 119 136 182 196 221 238 364 392 442 476 637 728 833 884 952 1274 1547 1666 1768 2548 3094 3332 5096 6188 6664 10829 12376 21658 43316 86632 2470801 4941602 9883204 17295607 19766408 32120413 34591214 42003617 64240826 69182428 84007234 121069249 128481652 138364856 168014468 224842891 242138498 256963304 294025319 336028936 449685782 484276996 546047021 588050638 899371564 968553992 1092094042 1176101276 1573900237 1798743128 2058177233 2184188084 2352202552 3147800474 3822329147 4116354466 4368376168 6295600948 7644658294 8232708932 12591201896 15289316588 16465417864 26756304029 30578633176 53512608058 107025216116 214050432232