223027200 has 378 divisors, whose sum is σ = 878112417. Its totient is φ = 54067200.

The previous prime is 223027183. The next prime is 223027201. The reversal of 223027200 is 2720322.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 218566656 + 4460544 = 14784^2 + 2112^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=10560.

It is a super-2 number, since 2×223027200² = 99482263879680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (223027201) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20275195 + ... + 20275205.

Almost surely, 2^223027200 is an apocalyptic number.

223027200 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 223027200

223027200 is an abundant number, since it is smaller than the sum of its proper divisors (655085217).

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

223027200 is a wasteful number, since it uses less digits than its factorization.

223027200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 223027200 is about 14934.0952186599. The cubic root of 223027200 is about 606.4373537928.

Multiplying 223027200 by its sum of digits (18), we get a square (4014489600 = 63360²).

223027200 divided by its sum of digits (18) gives a square (12390400 = 3520²).

Adding to 223027200 its reverse (2720322), we get a palindrome (225747522).

The spelling of 223027200 in words is "two hundred twenty-three million, twenty-seven thousand, two hundred".