214361952 has 192 divisors, whose sum is σ = 687697920. Its totient is φ = 57106944.

The previous prime is 214361893. The next prime is 214361963. The reversal of 214361952 is 259163412.

214361952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1315023 + ... + 1315185.

It is an arithmetic number, because the mean of its divisors is an integer number (3581760).

Almost surely, 2^214361952 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 214361952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343848960).

214361952 is an abundant number, since it is smaller than the sum of its proper divisors (473335968).

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

214361952 is a wasteful number, since it uses less digits than its factorization.

214361952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 297 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 214361952 is about 14641.1048763404. The cubic root of 214361952 is about 598.4794386327.

The spelling of 214361952 in words is "two hundred fourteen million, three hundred sixty-one thousand, nine hundred fifty-two".