220787952 has 320 divisors, whose sum is σ = 767950848. Its totient is φ = 52992000.

The previous prime is 220787951. The next prime is 220788013. The reversal of 220787952 is 259787022.

It is a happy number.

220787952 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220787951) 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, 4697593 + ... + 4697639.

Almost surely, 2^220787952 is an apocalyptic number.

220787952 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 220787952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383975424).

220787952 is an abundant number, since it is smaller than the sum of its proper divisors (547162896).

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

220787952 is a wasteful number, since it uses less digits than its factorization.

220787952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 220787952 is about 14858.9350897028. The cubic root of 220787952 is about 604.4009296617.

The spelling of 220787952 in words is "two hundred twenty million, seven hundred eighty-seven thousand, nine hundred fifty-two".