223201020 has 192 divisors, whose sum is σ = 750145536. Its totient is φ = 48522240.

The previous prime is 223201019. The next prime is 223201021. The reversal of 223201020 is 20102322.

It is an interprime number because it is at equal distance from previous prime (223201019) and next prime (223201021).

It is a super-3 number, since 3×223201020³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 223200987 and 223201005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223201021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 823485 + ... + 823755.

It is an arithmetic number, because the mean of its divisors is an integer number (3907008).

Almost surely, 2^223201020 is an apocalyptic number.

223201020 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 223201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375072768).

223201020 is an abundant number, since it is smaller than the sum of its proper divisors (526944516).

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

223201020 is a wasteful number, since it uses less digits than its factorization.

223201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 223201020 is about 14939.9136543690. The cubic root of 223201020 is about 606.5948585995.

Adding to 223201020 its reverse (20102322), we get a palindrome (243303342).

The spelling of 223201020 in words is "two hundred twenty-three million, two hundred one thousand, twenty".