220932839952 has 320 divisors, whose sum is σ = 731553177600. Its totient is φ = 63135521280.

The previous prime is 220932839951. The next prime is 220932839957. The reversal of 220932839952 is 259938239022.

220932839952 is a `hidden beast` number, since 220 + 9 + 3 + 28 + 399 + 5 + 2 = 666.

It is a super-2 number, since 2×220932839952² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (220932839951) 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, 20128738 + ... + 20139710.

It is an arithmetic number, because the mean of its divisors is an integer number (2286103680).

Almost surely, 2^220932839952 is an apocalyptic number.

220932839952 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 220932839952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365776588800).

220932839952 is an abundant number, since it is smaller than the sum of its proper divisors (510620337648).

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

220932839952 is a wasteful number, since it uses less digits than its factorization.

220932839952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11243 (or 11231 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 220932839952 in words is "two hundred twenty billion, nine hundred thirty-two million, eight hundred thirty-nine thousand, nine hundred fifty-two".