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224480980 = 22523094861
BaseRepresentation
bin11010110000101…
…00111011010100
3120122101211000101
431120110323110
5424431342410
634135223444
75364025333
oct1530247324
9518354011
10224480980
11105793979
1263217b84
13376791a9
1421b55d1a
1514a92d3a
hexd614ed4

224480980 has 24 divisors (see below), whose sum is σ = 471711240. Its totient is φ = 89735040.

The previous prime is 224480957. The next prime is 224480987. The reversal of 224480980 is 89084422.

224480980 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 4 ways, for example, as 105103504 + 119377476 = 10252^2 + 10926^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224480987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43750 + ... + 48610.

It is an arithmetic number, because the mean of its divisors is an integer number (19654635).

Almost surely, 2224480980 is an apocalyptic number.

224480980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224480980 is an abundant number, since it is smaller than the sum of its proper divisors (247230260).

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

224480980 is a wasteful number, since it uses less digits than its factorization.

224480980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7179 (or 7177 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 224480980 is about 14982.6893447071. The cubic root of 224480980 is about 607.7521677195.

The spelling of 224480980 in words is "two hundred twenty-four million, four hundred eighty thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 2309 4618 4861 9236 9722 11545 19444 23090 24305 46180 48610 97220 11224049 22448098 44896196 56120245 112240490 224480980