Search a number
-
+
2214180 = 2232512301
BaseRepresentation
bin1000011100100100100100
311011111021200
420130210210
51031323210
6115242500
724551223
oct10344444
94144250
102214180
111282601
128a9430
135c6a87
14418cba
152db0c0
hex21c924

2214180 has 36 divisors (see below), whose sum is σ = 6716892. Its totient is φ = 590400.

The previous prime is 2214169. The next prime is 2214193. The reversal of 2214180 is 814122.

It can be written as a sum of positive squares in 2 ways, for example, as 788544 + 1425636 = 888^2 + 1194^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5971 + ... + 6330.

22214180 is an apocalyptic number.

2214180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2214180 is an abundant number, since it is smaller than the sum of its proper divisors (4502712).

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

2214180 is a wasteful number, since it uses less digits than its factorization.

2214180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12316 (or 12311 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2214180 is about 1488.0120967250. The cubic root of 2214180 is about 130.3379765761.

The spelling of 2214180 in words is "two million, two hundred fourteen thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12301 24602 36903 49204 61505 73806 110709 123010 147612 184515 221418 246020 369030 442836 553545 738060 1107090 2214180