Search a number
-
+
220017889 = 721321632
BaseRepresentation
bin11010001110100…
…11010011100001
3120100000001210201
431013103103201
5422311033024
633455425201
75311056400
oct1507232341
9510001721
10220017889
11103215773
1261825201
1336775900
1421313637
15144b0744
hexd1d34e1

220017889 has 27 divisors (see below), whose sum is σ = 278851923. Its totient is φ = 173012112.

The previous prime is 220017871. The next prime is 220017901. The reversal of 220017889 is 988710022.

The square root of 220017889 is 14833.

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

220017889 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 only one way, i.e., 32547025 + 187470864 = 5705^2 + 13692^2 .

It is not a de Polignac number, because 220017889 - 27 = 220017761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220017089) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1349722 + ... + 1349884.

It is an arithmetic number, because the mean of its divisors is an integer number (10327849).

Almost surely, 2220017889 is an apocalyptic number.

220017889 is the 14833-rd square number.

220017889 is the 7417-th centered octagonal number.

It is an amenable number.

220017889 is a deficient number, since it is larger than the sum of its proper divisors (58834034).

220017889 is an equidigital number, since it uses as much as digits as its factorization.

220017889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The cubic root of 220017889 is about 603.6974357374.

It can be divided in two parts, 22001 and 7889, that added together give a triangular number (29890 = T244).

The spelling of 220017889 in words is "two hundred twenty million, seventeen thousand, eight hundred eighty-nine".

Divisors: 1 7 13 49 91 163 169 637 1141 1183 2119 7987 8281 14833 26569 27547 103831 185983 192829 345397 1301881 1349803 2417779 4490161 16924453 31431127 220017889