220151241 has 36 divisors (see below), whose sum is σ = 344391372. Its totient is φ = 135442944.

The previous prime is 220151237. The next prime is 220151287. The reversal of 220151241 is 142151022.

It can be written as a sum of positive squares in 6 ways, for example, as 13395600 + 206755641 = 3660^2 + 14379^2 .

It is not a de Polignac number, because 220151241 - 2² = 220151237 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220151231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 137055 + ... + 138651.

It is an arithmetic number, because the mean of its divisors is an integer number (9566427).

Almost surely, 2^220151241 is an apocalyptic number.

It is an amenable number.

220151241 is a deficient number, since it is larger than the sum of its proper divisors (124240131).

220151241 is a wasteful number, since it uses less digits than its factorization.

220151241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1670 counting only the distinct ones).

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

The square root of 220151241 is about 14837.4944313385. The cubic root of 220151241 is about 603.8193773393.

The spelling of 220151241 in words is "two hundred twenty million, one hundred fifty-one thousand, two hundred forty-one".