220426752 has 320 divisors, whose sum is σ = 769950720. Its totient is φ = 54411264.

The previous prime is 220426751. The next prime is 220426781. The reversal of 220426752 is 257624022.

It is not an unprimeable number, because it can be changed into a prime (220426751) 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, 2655703 + ... + 2655785.

It is an arithmetic number, because the mean of its divisors is an integer number (2406096).

Almost surely, 2^220426752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220426752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384975360).

220426752 is an abundant number, since it is smaller than the sum of its proper divisors (549523968).

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

220426752 is a wasteful number, since it uses less digits than its factorization.

220426752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 220426752 is about 14846.7758116030. The cubic root of 220426752 is about 604.0711580857.

The spelling of 220426752 in words is "two hundred twenty million, four hundred twenty-six thousand, seven hundred fifty-two".