218389952 has 112 divisors (see below), whose sum is σ = 515721600. Its totient is φ = 90639360.

The previous prime is 218389937. The next prime is 218389979. The reversal of 218389952 is 259983812.

It is a super-2 number, since 2×218389952² = 95388342269124608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 218389897 and 218389906.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 387623 + ... + 388185.

Almost surely, 2^218389952 is an apocalyptic number.

218389952 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 218389952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257860800).

218389952 is an abundant number, since it is smaller than the sum of its proper divisors (297331648).

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

218389952 is a wasteful number, since it uses less digits than its factorization.

218389952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 624 counting only the distinct ones).

The product of its digits is 311040, while the sum is 47.

The square root of 218389952 is about 14778.0226011466. The cubic root of 218389952 is about 602.2048066406.

The spelling of 218389952 in words is "two hundred eighteen million, three hundred eighty-nine thousand, nine hundred fifty-two".