223515072 has 168 divisors, whose sum is σ = 722934800. Its totient is φ = 67668480.

The previous prime is 223515013. The next prime is 223515077. The reversal of 223515072 is 270515322.

It is a super-2 number, since 2×223515072² = 99917974822330368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223515077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208554 + ... + 209622.

Almost surely, 2^223515072 is an apocalyptic number.

223515072 is a gapful number since it is divisible by the number (22) 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 223515072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361467400).

223515072 is an abundant number, since it is smaller than the sum of its proper divisors (499419728).

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

223515072 is a wasteful number, since it uses less digits than its factorization.

223515072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 223515072 is about 14950.4204623148. The cubic root of 223515072 is about 606.8792256548.

The spelling of 223515072 in words is "two hundred twenty-three million, five hundred fifteen thousand, seventy-two".