220181949 has 64 divisors (see below), whose sum is σ = 368793600. Its totient is φ = 128894976.

The previous prime is 220181917. The next prime is 220181957. The reversal of 220181949 is 949181022.

It is not a de Polignac number, because 220181949 - 2⁵ = 220181917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220181149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 987252 + ... + 987474.

It is an arithmetic number, because the mean of its divisors is an integer number (5762400).

Almost surely, 2^220181949 is an apocalyptic number.

220181949 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

220181949 is a deficient number, since it is larger than the sum of its proper divisors (148611651).

220181949 is a wasteful number, since it uses less digits than its factorization.

220181949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 220181949 is about 14838.5292060905. The cubic root of 220181949 is about 603.8474508026.

The spelling of 220181949 in words is "two hundred twenty million, one hundred eighty-one thousand, nine hundred forty-nine".