233226480 has 80 divisors (see below), whose sum is σ = 733238784. Its totient is φ = 61313280.

The previous prime is 233226479. The next prime is 233226481. The reversal of 233226480 is 84622332.

233226480 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (233226479) and next prime (233226481).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233226481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10197 + ... + 23883.

Almost surely, 2^233226480 is an apocalyptic number.

233226480 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 233226480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366619392).

233226480 is an abundant number, since it is smaller than the sum of its proper divisors (500012304).

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

233226480 is a wasteful number, since it uses less digits than its factorization.

233226480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13774 (or 13768 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 233226480 is about 15271.7543196582. The cubic root of 233226480 is about 615.5442600874.

The spelling of 233226480 in words is "two hundred thirty-three million, two hundred twenty-six thousand, four hundred eighty".