223005120 has 224 divisors, whose sum is σ = 774240768. Its totient is φ = 54054912.

The previous prime is 223005119. The next prime is 223005121. The reversal of 223005120 is 21500322.

It is an interprime number because it is at equal distance from previous prime (223005119) and next prime (223005121).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 223005120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223005121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1335277 + ... + 1335443.

It is an arithmetic number, because the mean of its divisors is an integer number (3456432).

Almost surely, 2^223005120 is an apocalyptic number.

223005120 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 223005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387120384).

223005120 is an abundant number, since it is smaller than the sum of its proper divisors (551235648).

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

223005120 is a wasteful number, since it uses less digits than its factorization.

223005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 223005120 is about 14933.3559523638. The cubic root of 223005120 is about 606.4173404212.

Adding to 223005120 its reverse (21500322), we get a palindrome (244505442).

The spelling of 223005120 in words is "two hundred twenty-three million, five thousand, one hundred twenty".