223120000 has 80 divisors (see below), whose sum is σ = 555642450. Its totient is φ = 89216000.

The previous prime is 223119977. The next prime is 223120013. The reversal of 223120000 is 21322.

223120000 is digitally balanced in base 3, 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 5 ways, for example, as 6677056 + 216442944 = 2584^2 + 14712^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×223120000³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 78606 + ... + 81394.

Almost surely, 2^223120000 is an apocalyptic number.

223120000 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 223120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277821225).

223120000 is an abundant number, since it is smaller than the sum of its proper divisors (332522450).

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

223120000 is an frugal number, since it uses more digits than its factorization.

223120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2823 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 223120000 is about 14937.2018798703. The cubic root of 223120000 is about 606.5214535239.

Adding to 223120000 its reverse (21322), we get a palindrome (223141322).

It can be divided in two parts, 2 and 23120000, that multiplied together give a square (46240000 = 6800²).

The spelling of 223120000 in words is "two hundred twenty-three million, one hundred twenty thousand".