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223808676 = 2237213192367
BaseRepresentation
bin11010101011100…
…00110010100100
3120121010122210020
431111300302210
5424243334201
634112555140
75355225300
oct1525606244
9517118706
10223808676
11105374853
1262b52ab0
13374a2190
1421a1cd00
15149ada36
hexd570ca4

223808676 has 288 divisors, whose sum is σ = 729308160. Its totient is φ = 52690176.

The previous prime is 223808647. The next prime is 223808677. The reversal of 223808676 is 676808322.

223808676 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223808677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3340395 + ... + 3340461.

It is an arithmetic number, because the mean of its divisors is an integer number (2532320).

Almost surely, 2223808676 is an apocalyptic number.

223808676 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223808676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364654080).

223808676 is an abundant number, since it is smaller than the sum of its proper divisors (505499484).

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

223808676 is a wasteful number, since it uses less digits than its factorization.

223808676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 223808676 is about 14960.2364954569. The cubic root of 223808676 is about 607.1448366862.

The spelling of 223808676 in words is "two hundred twenty-three million, eight hundred eight thousand, six hundred seventy-six".