223252040 has 64 divisors (see below), whose sum is σ = 556234560. Its totient is φ = 79960320.

The previous prime is 223252039. The next prime is 223252061. The reversal of 223252040 is 40252322.

It is a super-3 number, since 3×223252040³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25694 + ... + 33266.

It is an arithmetic number, because the mean of its divisors is an integer number (8691165).

Almost surely, 2^223252040 is an apocalyptic number.

223252040 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 223252040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278117280).

223252040 is an abundant number, since it is smaller than the sum of its proper divisors (332982520).

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

223252040 is a wasteful number, since it uses less digits than its factorization.

223252040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7662 (or 7658 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 223252040 is about 14941.6210633251. The cubic root of 223252040 is about 606.6410742065.

The spelling of 223252040 in words is "two hundred twenty-three million, two hundred fifty-two thousand, forty".