219094272 has 54 divisors (see below), whose sum is σ = 631709442. Its totient is φ = 73030656.

The previous prime is 219094259. The next prime is 219094273. The reversal of 219094272 is 272490912.

It can be written as a sum of positive squares in only one way, i.e., 125081856 + 94012416 = 11184^2 + 9696^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219094273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45243 + ... + 49850.

It is an arithmetic number, because the mean of its divisors is an integer number (11698323).

Almost surely, 2^219094272 is an apocalyptic number.

It is an amenable number.

219094272 is an abundant number, since it is smaller than the sum of its proper divisors (412615170).

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

219094272 is an equidigital number, since it uses as much as digits as its factorization.

219094272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95115 (or 95098 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 219094272 is about 14801.8333999542. The cubic root of 219094272 is about 602.8514935065.

The spelling of 219094272 in words is "two hundred nineteen million, ninety-four thousand, two hundred seventy-two".