219493152 has 126 divisors (see below), whose sum is σ = 654642513. Its totient is φ = 72410112.

The previous prime is 219493133. The next prime is 219493177. The reversal of 219493152 is 251394912.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

219493152 is a `hidden beast` number, since 2 + 19 + 493 + 152 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 218921616 + 571536 = 14796^2 + 756^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=10476.

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

It is an unprimeable number.

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 20 ways as a sum of consecutive naturals, for example, 2262768 + ... + 2262864.

Almost surely, 2^219493152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219493152

219493152 is an abundant number, since it is smaller than the sum of its proper divisors (435149361).

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

219493152 is an frugal number, since it uses more digits than its factorization.

219493152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 102 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 219493152 is about 14815.3012794205. The cubic root of 219493152 is about 603.2171194076.

The spelling of 219493152 in words is "two hundred nineteen million, four hundred ninety-three thousand, one hundred fifty-two".