220827219 has 16 divisors (see below), whose sum is σ = 298168320. Its totient is φ = 145363680.

The previous prime is 220827169. The next prime is 220827221. The reversal of 220827219 is 912728022.

220827219 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 220827219 - 2¹⁶ = 220761683 is a prime.

It is a super-3 number, since 3×220827219³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 220827219.

It is not an unprimeable number, because it can be changed into a prime (220827239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85984 + ... + 88514.

It is an arithmetic number, because the mean of its divisors is an integer number (18635520).

Almost surely, 2^220827219 is an apocalyptic number.

220827219 is a deficient number, since it is larger than the sum of its proper divisors (77341101).

220827219 is a wasteful number, since it uses less digits than its factorization.

220827219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890.

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 220827219 is about 14860.2563571427. The cubic root of 220827219 is about 604.4367583142.

The spelling of 220827219 in words is "two hundred twenty million, eight hundred twenty-seven thousand, two hundred nineteen".