233225720 has 128 divisors (see below), whose sum is σ = 684028800. Its totient is φ = 69451776.

The previous prime is 233225717. The next prime is 233225731. The reversal of 233225720 is 27522332.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 233225720.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59996 + ... + 63764.

It is an arithmetic number, because the mean of its divisors is an integer number (5343975).

Almost surely, 2^233225720 is an apocalyptic number.

233225720 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 233225720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342014400).

233225720 is an abundant number, since it is smaller than the sum of its proper divisors (450803080).

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

233225720 is a wasteful number, since it uses less digits than its factorization.

233225720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3817 (or 3813 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 26.

The square root of 233225720 is about 15271.7294371004. The cubic root of 233225720 is about 615.5435914753.

The spelling of 233225720 in words is "two hundred thirty-three million, two hundred twenty-five thousand, seven hundred twenty".