Search a number
-
+
214351422030 = 23253597199227
BaseRepresentation
bin1100011110100001010…
…1110010001001001110
3202111021112000110110200
43013220111302021032
512002442431001110
6242245514514330
721325554011364
oct3075025621116
9674245013420
10214351422030
11829a6875a69
1235661a359a6
13172a0691585
14a536115634
1558983726c0
hex31e857224e

214351422030 has 96 divisors (see below), whose sum is σ = 559704038400. Its totient is φ = 56915710656.

The previous prime is 214351422011. The next prime is 214351422041. The reversal of 214351422030 is 30224153412.

214351422030 is a `hidden beast` number, since 2 + 1 + 435 + 1 + 4 + 220 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 214351421985 and 214351422003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23226277 + ... + 23235503.

It is an arithmetic number, because the mean of its divisors is an integer number (5830250400).

Almost surely, 2214351422030 is an apocalyptic number.

214351422030 is an abundant number, since it is smaller than the sum of its proper divisors (345352616370).

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

214351422030 is a wasteful number, since it uses less digits than its factorization.

214351422030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10318 (or 10315 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 214351422030 its reverse (30224153412), we get a palindrome (244575575442).

The spelling of 214351422030 in words is "two hundred fourteen billion, three hundred fifty-one million, four hundred twenty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 359 718 719 1077 1438 1795 2154 2157 3231 3590 3595 4314 5385 6462 6471 7190 9227 10770 10785 12942 16155 18454 21570 27681 32310 32355 46135 55362 64710 83043 92270 138405 166086 258121 276810 415215 516242 774363 830430 1290605 1548726 2323089 2581210 3312493 3871815 4646178 6624986 6634213 7743630 9937479 11615445 13268426 16562465 19874958 19902639 23230890 29812437 33124930 33171065 39805278 49687395 59624874 59707917 66342130 99374790 99513195 119415834 149062185 199026390 298124370 298539585 597079170 2381682467 4763364934 7145047401 11908412335 14290094802 21435142203 23816824670 35725237005 42870284406 71450474010 107175711015 214351422030