Search a number
-
+
214731218881 = 192296
BaseRepresentation
bin1100011111111011111…
…0100101111111000001
3202112020222200010210201
43013332332211333001
512004232143001011
6242351323125201
721341145150004
oct3077676457701
9675228603721
10214731218881
11830811a1a63
1235749073801
131733127b13a
14a57073b53b
1558bb894cc1
hex31fefa5fc1

214731218881 has 21 divisors (see below), whose sum is σ = 234721531191. Its totient is φ = 196414762824.

The previous prime is 214731218879. The next prime is 214731218921. The reversal of 214731218881 is 188812137412.

The square root of 214731218881 is 463391.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 91712671281 + 123018547600 = 302841^2 + 350740^2 .

It is not a de Polignac number, because 214731218881 - 21 = 214731218879 is a prime.

It is a super-2 number, since 2×2147312188812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (172032) is a multiple of the sum of its prime divisors (48).

It is not an unprimeable number, because it can be changed into a prime (214731218081) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 7404524775 + ... + 7404524803.

It is an arithmetic number, because the mean of its divisors is an integer number (11177215771).

Almost surely, 2214731218881 is an apocalyptic number.

214731218881 is the 463391-st square number.

214731218881 is the 231696-th centered octagonal number.

It is an amenable number.

214731218881 is a deficient number, since it is larger than the sum of its proper divisors (19990312310).

214731218881 is an frugal number, since it uses more digits than its factorization.

214731218881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 48 counting only the distinct ones).

The product of its digits is 172032, while the sum is 46.

The spelling of 214731218881 in words is "two hundred fourteen billion, seven hundred thirty-one million, two hundred eighteen thousand, eight hundred eighty-one".

Divisors: 1 19 29 361 551 841 10469 15979 24389 303601 463391 707281 8804429 13438339 20511149 255328441 389711831 594823321 7404524789 11301643099 214731218881