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226981 = 613
BaseRepresentation
bin110111011010100101
3102112100201
4313122211
524230411
64510501
71633516
oct673245
9375321
10226981
11145597
12ab431
137c411
145ca0d
15473c1
hex376a5

226981 has 4 divisors (see below), whose sum is σ = 230764. Its totient is φ = 223260.

The previous prime is 226943. The next prime is 226991. The reversal of 226981 is 189622.

It is a happy number.

The cubic root of 226981 is 61.

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

It is the 195-th star number.

It can be written as a sum of positive squares in 2 ways, for example, as 54756 + 172225 = 234^2 + 415^2 .

It is a de Polignac number, because none of the positive numbers 2k-226981 is a prime.

It is a super-2 number, since 2×2269812 = 103040748722, which contains 22 as substring.

It is a Duffinian number.

226981 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3691 + ... + 3751.

It is an arithmetic number, because the mean of its divisors is an integer number (57691).

226981 is a Friedman number, since it can be written as (62-9+8)^(2+1), using all its digits and the basic arithmetic operations.

2226981 is an apocalyptic number.

It is an amenable number.

226981 is a deficient number, since it is larger than the sum of its proper divisors (3783).

226981 is an frugal number, since it uses more digits than its factorization.

226981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 61 counting only the distinct ones).

The product of its digits is 1728, while the sum is 28.

The square root of 226981 is about 476.4252302303.

Multiplying 226981 by its product of digits (1728), we get a cube (392223168 = 7323).

The spelling of 226981 in words is "two hundred twenty-six thousand, nine hundred eighty-one".

Divisors: 1 61 3721 226981