223010000 has 100 divisors (see below), whose sum is σ = 559274100. Its totient is φ = 86016000.

The previous prime is 223009987. The next prime is 223010017. The reversal of 223010000 is 10322.

223010000 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 10 ways, for example, as 179238544 + 43771456 = 13388^2 + 6616^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 223010000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 289616 + ... + 290384.

It is an arithmetic number, because the mean of its divisors is an integer number (5592741).

Almost surely, 2^223010000 is an apocalyptic number.

223010000 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 223010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279637050).

223010000 is an abundant number, since it is smaller than the sum of its proper divisors (336264100).

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

223010000 is an equidigital number, since it uses as much as digits as its factorization.

223010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 223010000 is about 14933.5193440796. The cubic root of 223010000 is about 606.4217637801.

Adding to 223010000 its reverse (10322), we get a palindrome (223020322).

The spelling of 223010000 in words is "two hundred twenty-three million, ten thousand".