220414287289 has 27 divisors (see below), whose sum is σ = 262155400293. Its totient is φ = 184777241208.

The previous prime is 220414287281. The next prime is 220414287319. The reversal of 220414287289 is 982782414022.

The square root of 220414287289 is 469483.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 220414287289 - 2³ = 220414287281 is a prime.

It is a super-2 number, since 2×220414287289² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220414287281) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 154459194 + ... + 154460620.

Almost surely, 2^220414287289 is an apocalyptic number.

220414287289 is the 469483-rd square number.

220414287289 is the 234742-nd centered octagonal number.

It is an amenable number.

220414287289 is a deficient number, since it is larger than the sum of its proper divisors (41741113004).

220414287289 is an frugal number, since it uses more digits than its factorization.

220414287289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 49.

Multiplying 220414287289 by its sum of digits (49), we get a square (10800300077161 = 3286381²).

220414287289 divided by its sum of digits (49) gives a square (4498250761 = 67069²).

The spelling of 220414287289 in words is "two hundred twenty billion, four hundred fourteen million, two hundred eighty-seven thousand, two hundred eighty-nine".