Search a number
-
+
224464420 = 225101111121
BaseRepresentation
bin11010110000100…
…00111000100100
3120122100222022001
431120100320210
5424430330140
634135015044
75363626135
oct1530207044
9518328261
10224464420
11105782494
126320a484
13376717ab
1421b4dc8c
1514a8ce9a
hexd610e24

224464420 has 24 divisors (see below), whose sum is σ = 476046648. Its totient is φ = 88896000.

The previous prime is 224464417. The next prime is 224464421. The reversal of 224464420 is 24464422.

It can be written as a sum of positive squares in 4 ways, for example, as 79887844 + 144576576 = 8938^2 + 12024^2 .

It is not an unprimeable number, because it can be changed into a prime (224464421) 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 7 ways as a sum of consecutive naturals, for example, 53541 + ... + 57580.

It is an arithmetic number, because the mean of its divisors is an integer number (19835277).

Almost surely, 2224464420 is an apocalyptic number.

224464420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224464420 is an abundant number, since it is smaller than the sum of its proper divisors (251582228).

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

224464420 is a wasteful number, since it uses less digits than its factorization.

224464420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111231 (or 111229 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 224464420 is about 14982.1366967466. The cubic root of 224464420 is about 607.7372226918.

The spelling of 224464420 in words is "two hundred twenty-four million, four hundred sixty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 111121 222242 444484 555605 1111210 2222420 11223221 22446442 44892884 56116105 112232210 224464420