220553541 has 24 divisors (see below), whose sum is σ = 343715736. Its totient is φ = 135475200.

The previous prime is 220553533. The next prime is 220553549. The reversal of 220553541 is 145355022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (220553533) and next prime (220553549).

It can be written as a sum of positive squares in 4 ways, for example, as 2873025 + 217680516 = 1695^2 + 14754^2 .

It is not a de Polignac number, because 220553541 - 2³ = 220553533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220553549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77341 + ... + 80141.

It is an arithmetic number, because the mean of its divisors is an integer number (14321489).

Almost surely, 2^220553541 is an apocalyptic number.

It is an amenable number.

220553541 is a deficient number, since it is larger than the sum of its proper divisors (123162195).

220553541 is a wasteful number, since it uses less digits than its factorization.

220553541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3493 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 220553541 is about 14851.0451147386. The cubic root of 220553541 is about 604.1869560358.

The spelling of 220553541 in words is "two hundred twenty million, five hundred fifty-three thousand, five hundred forty-one".