220405152 has 96 divisors (see below), whose sum is σ = 648333504. Its totient is φ = 64972800.

The previous prime is 220405151. The next prime is 220405169. The reversal of 220405152 is 251504022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (220405151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36252 + ... + 41892.

It is an arithmetic number, because the mean of its divisors is an integer number (6753474).

Almost surely, 2^220405152 is an apocalyptic number.

220405152 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 220405152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324166752).

220405152 is an abundant number, since it is smaller than the sum of its proper divisors (427928352).

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

220405152 is a wasteful number, since it uses less digits than its factorization.

220405152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5702 (or 5694 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 220405152 is about 14846.0483631167. The cubic root of 220405152 is about 604.0514261141.

Adding to 220405152 its reverse (251504022), we get a palindrome (471909174).

The spelling of 220405152 in words is "two hundred twenty million, four hundred five thousand, one hundred fifty-two".