Search a number
-
+
214310020230 = 232543311294871
BaseRepresentation
bin1100011110010111011…
…1110110010010000110
3202111011122010000212200
43013211313312102012
512002401331121410
6242241435255330
721324542054415
oct3074567662206
9674148100780
10214310020230
11829854681a9
123564bbaa546
1317294c26977
14a53081947c
1558948e53c0
hex31e5df6486

214310020230 has 96 divisors (see below), whose sum is σ = 559102340160. Its totient is φ = 56955156480.

The previous prime is 214310020217. The next prime is 214310020247. The reversal of 214310020230 is 32020013412.

214310020230 is a `hidden beast` number, since 2 + 1 + 431 + 0 + 0 + 2 + 0 + 230 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

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, 43994695 + ... + 43999565.

It is an arithmetic number, because the mean of its divisors is an integer number (5823982710).

Almost surely, 2214310020230 is an apocalyptic number.

214310020230 is an abundant number, since it is smaller than the sum of its proper divisors (344792319930).

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

214310020230 is a wasteful number, since it uses less digits than its factorization.

214310020230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6446 (or 6443 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 214310020230 its reverse (32020013412), we get a palindrome (246330033642).

The spelling of 214310020230 in words is "two hundred fourteen billion, three hundred ten million, twenty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 433 866 1129 1299 2165 2258 2598 3387 3897 4330 4871 5645 6495 6774 7794 9742 10161 11290 12990 14613 16935 19485 20322 24355 29226 33870 38970 43839 48710 50805 73065 87678 101610 146130 219195 438390 488857 977714 1466571 2109143 2444285 2933142 4218286 4399713 4888570 5499359 6327429 7332855 8799426 10545715 10998718 12654858 14665710 16498077 18982287 21091430 21998565 27496795 31637145 32996154 37964574 43997130 49494231 54993590 63274290 82490385 94911435 98988462 164980770 189822870 247471155 494942310 2381222447 4762444894 7143667341 11906112235 14287334682 21431002023 23812224470 35718336705 42862004046 71436673410 107155010115 214310020230