33225780 has 96 divisors (see below), whose sum is σ = 107089920. Its totient is φ = 7539840.

The previous prime is 33225779. The next prime is 33225781. The reversal of 33225780 is 8752233.

It is an interprime number because it is at equal distance from previous prime (33225779) and next prime (33225781).

It is a super-2 number, since 2×33225780² = 2207904913216800, which contains 22 as substring.

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 (33225781) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100215 + ... + 100545.

It is an arithmetic number, because the mean of its divisors is an integer number (1115520).

Almost surely, 2^33225780 is an apocalyptic number.

33225780 is a gapful number since it is divisible by the number (30) 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 33225780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53544960).

33225780 is an abundant number, since it is smaller than the sum of its proper divisors (73864140).

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

33225780 is a wasteful number, since it uses less digits than its factorization.

33225780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 33225780 is about 5764.1807744032. The cubic root of 33225780 is about 321.4832832440.

The spelling of 33225780 in words is "thirty-three million, two hundred twenty-five thousand, seven hundred eighty".