219141864 has 48 divisors (see below), whose sum is σ = 613980900. Its totient is φ = 70527744.

The previous prime is 219141863. The next prime is 219141887. The reversal of 219141864 is 468141912.

It can be written as a sum of positive squares in 2 ways, for example, as 214856964 + 4284900 = 14658^2 + 2070^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (219141863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50389 + ... + 54564.

Almost surely, 2^219141864 is an apocalyptic number.

219141864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

219141864 is an abundant number, since it is smaller than the sum of its proper divisors (394839036).

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

219141864 is a wasteful number, since it uses less digits than its factorization.

219141864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104994 (or 104987 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 219141864 is about 14803.4409513464. The cubic root of 219141864 is about 602.8951411273.

The spelling of 219141864 in words is "two hundred nineteen million, one hundred forty-one thousand, eight hundred sixty-four".