220141152 has 240 divisors, whose sum is σ = 807916032. Its totient is φ = 57127680.

The previous prime is 220141151. The next prime is 220141183. The reversal of 220141152 is 251141022.

220141152 is a `hidden beast` number, since 2 + 201 + 411 + 52 = 666.

It is a super-3 number, since 3×220141152³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220141151) 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 39 ways as a sum of consecutive naturals, for example, 199033 + ... + 200135.

Almost surely, 2^220141152 is an apocalyptic number.

220141152 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 220141152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403958016).

220141152 is an abundant number, since it is smaller than the sum of its proper divisors (587774880).

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

220141152 is a wasteful number, since it uses less digits than its factorization.

220141152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 220141152 is about 14837.1544441648. The cubic root of 220141152 is about 603.8101533368.

Adding to 220141152 its reverse (251141022), we get a palindrome (471282174).

The spelling of 220141152 in words is "two hundred twenty million, one hundred forty-one thousand, one hundred fifty-two".