214933632 has 64 divisors (see below), whose sum is σ = 583113600. Its totient is φ = 70114304.

The previous prime is 214933627. The next prime is 214933687. The reversal of 214933632 is 236339412.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×214933632² = 92392932329422848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214933593 and 214933602.

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 7 ways as a sum of consecutive naturals, for example, 12094 + ... + 24002.

It is an arithmetic number, because the mean of its divisors is an integer number (9111150).

Almost surely, 2^214933632 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 214933632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291556800).

214933632 is an abundant number, since it is smaller than the sum of its proper divisors (368179968).

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

214933632 is a wasteful number, since it uses less digits than its factorization.

214933632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11973 (or 11961 counting only the distinct ones).

The product of its digits is 23328, while the sum is 33.

The square root of 214933632 is about 14660.6149939216. The cubic root of 214933632 is about 599.0109928929.

The spelling of 214933632 in words is "two hundred fourteen million, nine hundred thirty-three thousand, six hundred thirty-two".