220240251 has 72 divisors (see below), whose sum is σ = 409316544. Its totient is φ = 112825440.

The previous prime is 220240247. The next prime is 220240301. The reversal of 220240251 is 152042022.

220240251 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220240251 - 2² = 220240247 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220240211) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 402360 + ... + 402906.

It is an arithmetic number, because the mean of its divisors is an integer number (5684952).

Almost surely, 2^220240251 is an apocalyptic number.

220240251 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

220240251 is a deficient number, since it is larger than the sum of its proper divisors (189076293).

220240251 is a wasteful number, since it uses less digits than its factorization.

220240251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 220240251 is about 14840.4936238658. The cubic root of 220240251 is about 603.9007437078.

Adding to 220240251 its reverse (152042022), we get a palindrome (372282273).

It can be divided in two parts, 220 and 240251, that added together give a triangular number (240471 = T₆₉₃).

The spelling of 220240251 in words is "two hundred twenty million, two hundred forty thousand, two hundred fifty-one".