220461192 has 192 divisors, whose sum is σ = 711360000. Its totient is φ = 61641216.

The previous prime is 220461179. The next prime is 220461193. The reversal of 220461192 is 291164022.

It is not an unprimeable number, because it can be changed into a prime (220461193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1950928 + ... + 1951040.

It is an arithmetic number, because the mean of its divisors is an integer number (3705000).

Almost surely, 2^220461192 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 220461192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355680000).

220461192 is an abundant number, since it is smaller than the sum of its proper divisors (490898808).

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

220461192 is a wasteful number, since it uses less digits than its factorization.

220461192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 220461192 is about 14847.9356140845. The cubic root of 220461192 is about 604.1026169522.

The spelling of 220461192 in words is "two hundred twenty million, four hundred sixty-one thousand, one hundred ninety-two".