217052000 has 96 divisors (see below), whose sum is σ = 581896224. Its totient is φ = 78912000.

The previous prime is 217051993. The next prime is 217052047. The reversal of 217052000 is 250712.

It is a super-3 number, since 3×217052000³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 217052000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41534 + ... + 46466.

It is an arithmetic number, because the mean of its divisors is an integer number (6061419).

Almost surely, 2^217052000 is an apocalyptic number.

217052000 is a gapful number since it is divisible by the number (20) 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 217052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290948112).

217052000 is an abundant number, since it is smaller than the sum of its proper divisors (364844224).

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

217052000 is a wasteful number, since it uses less digits than its factorization.

217052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4969 (or 4951 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 217052000 is about 14732.6847519385. The cubic root of 217052000 is about 600.9724969719.

The spelling of 217052000 in words is "two hundred seventeen million, fifty-two thousand".