213950016 has 168 divisors, whose sum is σ = 716401920. Its totient is φ = 59774976.

The previous prime is 213949949. The next prime is 213950039. The reversal of 213950016 is 610059312.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188940 + ... + 190068.

Almost surely, 2^213950016 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 213950016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358200960).

213950016 is an abundant number, since it is smaller than the sum of its proper divisors (502451904).

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

213950016 is a wasteful number, since it uses less digits than its factorization.

213950016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 213950016 is about 14627.0303206085. The cubic root of 213950016 is about 598.0958299536.

The spelling of 213950016 in words is "two hundred thirteen million, nine hundred fifty thousand, sixteen".