220526280 has 256 divisors, whose sum is σ = 804384000. Its totient is φ = 53415936.

The previous prime is 220526221. The next prime is 220526287. The reversal of 220526280 is 82625022.

220526280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (220526287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1586451 + ... + 1586589.

It is an arithmetic number, because the mean of its divisors is an integer number (3142125).

Almost surely, 2^220526280 is an apocalyptic number.

220526280 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 220526280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402192000).

220526280 is an abundant number, since it is smaller than the sum of its proper divisors (583857720).

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

220526280 is a wasteful number, since it uses less digits than its factorization.

220526280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 220526280 is about 14850.1272721819. The cubic root of 220526280 is about 604.1620619757.

The spelling of 220526280 in words is "two hundred twenty million, five hundred twenty-six thousand, two hundred eighty".