219268 has 24 divisors (see below), whose sum is σ = 451584. Its totient is φ = 91200.

The previous prime is 219251. The next prime is 219277. The reversal of 219268 is 862912.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1053 + ... + 1243.

It is an arithmetic number, because the mean of its divisors is an integer number (18816).

2²¹⁹²⁶⁸ is an apocalyptic number.

219268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225792).

219268 is an abundant number, since it is smaller than the sum of its proper divisors (232316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

219268 is a wasteful number, since it uses less digits than its factorization.

219268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 241 counting only the distinct ones).

The product of its digits is 1728, while the sum is 28.

The square root of 219268 is about 468.2606111985. The cubic root of 219268 is about 60.3010792536.

The spelling of 219268 in words is "two hundred nineteen thousand, two hundred sixty-eight".