223201440 has 576 divisors, whose sum is σ = 997436160. Its totient is φ = 45619200.

The previous prime is 223201439. The next prime is 223201441. The reversal of 223201440 is 44102322.

223201440 is a `hidden beast` number, since 2 + 23 + 201 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (223201439) and next prime (223201441).

It is a super-3 number, since 3×223201440³ (a number of 26 digits) contains 333 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 (223201441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3659010 + ... + 3659070.

It is an arithmetic number, because the mean of its divisors is an integer number (1731660).

Almost surely, 2^223201440 is an apocalyptic number.

223201440 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 223201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498718080).

223201440 is an abundant number, since it is smaller than the sum of its proper divisors (774234720).

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

223201440 is a wasteful number, since it uses less digits than its factorization.

223201440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 223201440 is about 14939.9277106685. The cubic root of 223201440 is about 606.5952390782.

Adding to 223201440 its reverse (44102322), we get a palindrome (267303762).

The spelling of 223201440 in words is "two hundred twenty-three million, two hundred one thousand, four hundred forty".