220248072 has 180 divisors, whose sum is σ = 691113885. Its totient is φ = 65482560.

The previous prime is 220248071. The next prime is 220248079. The reversal of 220248072 is 270842022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 208918116 + 11329956 = 14454^2 + 3366^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=10494.

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 (220248071) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4155598 + ... + 4155650.

Almost surely, 2^220248072 is an apocalyptic number.

220248072 is a gapful number since it is divisible by the number (22) 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 220248072

220248072 is an abundant number, since it is smaller than the sum of its proper divisors (470865813).

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

220248072 is a wasteful number, since it uses less digits than its factorization.

220248072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 220248072 is about 14840.7571235433. The cubic root of 220248072 is about 603.9078920406.

The spelling of 220248072 in words is "two hundred twenty million, two hundred forty-eight thousand, seventy-two".