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214336530 = 2345192733
BaseRepresentation
bin11001100011010…
…00010000010010
3112221022102110000
430301220100102
5414332232110
633133550430
75211554562
oct1461502022
9487272400
10214336530
11aaa95231
125b945416
1335536965
1420674da2
1513c3c1c0
hexcc68412

214336530 has 120 divisors (see below), whose sum is σ = 609086412. Its totient is φ = 54074304.

The previous prime is 214336519. The next prime is 214336537. The reversal of 214336530 is 35633412.

It is a happy number.

214336530 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 3 + 653 + 0 = 666.

214336530 is digitally balanced in base 3, 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 2 ways, for example, as 201441249 + 12895281 = 14193^2 + 3591^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 214336494 and 214336503.

It is not an unprimeable number, because it can be changed into a prime (214336537) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 292044 + ... + 292776.

Almost surely, 2214336530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214336530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304543206).

214336530 is an abundant number, since it is smaller than the sum of its proper divisors (394749882).

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

214336530 is a wasteful number, since it uses less digits than its factorization.

214336530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 214336530 is about 14640.2366784147. The cubic root of 214336530 is about 598.4557790457.

Adding to 214336530 its reverse (35633412), we get a palindrome (249969942).

The spelling of 214336530 in words is "two hundred fourteen million, three hundred thirty-six thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 361 405 513 570 722 733 810 855 1026 1083 1466 1539 1710 1805 2166 2199 2565 3078 3249 3610 3665 4398 5130 5415 6498 6597 7330 7695 9747 10830 10995 13194 13927 15390 16245 19494 19791 21990 27854 29241 32490 32985 39582 41781 48735 58482 59373 65970 69635 83562 97470 98955 118746 125343 139270 146205 197910 208905 250686 264613 292410 296865 376029 417810 529226 593730 626715 752058 793839 1128087 1253430 1323065 1587678 1880145 2256174 2381517 2646130 3760290 3969195 4763034 5640435 7144551 7938390 11280870 11907585 14289102 21433653 23815170 35722755 42867306 71445510 107168265 214336530