219042252 has 144 divisors (see below), whose sum is σ = 671448960. Its totient is φ = 61214400.

The previous prime is 219042247. The next prime is 219042253. The reversal of 219042252 is 252240912.

It is a happy number.

219042252 is a `hidden beast` number, since 2 + 190 + 422 + 52 = 666.

It is a super-2 number, since 2×219042252² = 95959016322463008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (219042253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200227 + ... + 201317.

It is an arithmetic number, because the mean of its divisors is an integer number (4662840).

Almost surely, 2^219042252 is an apocalyptic number.

219042252 is a gapful number since it is divisible by the number (22) 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 219042252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335724480).

219042252 is an abundant number, since it is smaller than the sum of its proper divisors (452406708).

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

219042252 is a wasteful number, since it uses less digits than its factorization.

219042252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 219042252 is about 14800.0760808855. The cubic root of 219042252 is about 602.8037776432.

The spelling of 219042252 in words is "two hundred nineteen million, forty-two thousand, two hundred fifty-two".