Search a number
-
+
223273188 = 22326202033
BaseRepresentation
bin11010100111011…
…10000011100100
3120120010110020100
431103232003210
5424124220223
634053304100
75350535145
oct1523560344
9516113210
10223273188
111050394a6
1262935030
1337345518
142191dacc
1514905043
hexd4ee0e4

223273188 has 18 divisors (see below), whose sum is σ = 564385094. Its totient is φ = 74424384.

The previous prime is 223273187. The next prime is 223273217. The reversal of 223273188 is 881372322.

It is a happy number.

223273188 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., 125619264 + 97653924 = 11208^2 + 9882^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×2232731883 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 6202033 = 223273188 / (2 + 2 + 3 + 2 + 7 + 3 + 1 + 8 + 8).

It is not an unprimeable number, because it can be changed into a prime (223273187) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3100981 + ... + 3101052.

Almost surely, 2223273188 is an apocalyptic number.

It is an amenable number.

223273188 is an abundant number, since it is smaller than the sum of its proper divisors (341111906).

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

223273188 is a wasteful number, since it uses less digits than its factorization.

223273188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6202043 (or 6202038 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 223273188 is about 14942.3287341699. The cubic root of 223273188 is about 606.6602287017.

The spelling of 223273188 in words is "two hundred twenty-three million, two hundred seventy-three thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 6202033 12404066 18606099 24808132 37212198 55818297 74424396 111636594 223273188