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223401400 = 23522235009
BaseRepresentation
bin11010101000011…
…01010110111000
3120120100222002221
431110031112320
5424142321100
634100133424
75351611015
oct1524152670
9516328087
10223401400
11105116862
1262997274
133738b9a1
142195470c
151492d01a
hexd50d5b8

223401400 has 48 divisors (see below), whose sum is σ = 521841600. Its totient is φ = 88942080.

The previous prime is 223401397. The next prime is 223401401. The reversal of 223401400 is 4104322.

223401400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223401401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42096 + ... + 47104.

It is an arithmetic number, because the mean of its divisors is an integer number (10871700).

Almost surely, 2223401400 is an apocalyptic number.

223401400 is a gapful number since it is divisible by the number (20) 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 223401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260920800).

223401400 is an abundant number, since it is smaller than the sum of its proper divisors (298440200).

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

223401400 is a wasteful number, since it uses less digits than its factorization.

223401400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5248 (or 5239 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 223401400 is about 14946.6183466361. The cubic root of 223401400 is about 606.7763289798.

Adding to 223401400 its reverse (4104322), we get a palindrome (227505722).

The spelling of 223401400 in words is "two hundred twenty-three million, four hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 223 446 892 1115 1784 2230 4460 5009 5575 8920 10018 11150 20036 22300 25045 40072 44600 50090 100180 125225 200360 250450 500900 1001800 1117007 2234014 4468028 5585035 8936056 11170070 22340140 27925175 44680280 55850350 111700700 223401400