217052120 has 32 divisors (see below), whose sum is σ = 489013200. Its totient is φ = 86706048.

The previous prime is 217052117. The next prime is 217052161. The reversal of 217052120 is 21250712.

It is a super-2 number, since 2×217052120² = 94223245592988800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 217052092 and 217052101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31202 + ... + 37518.

Almost surely, 2^217052120 is an apocalyptic number.

217052120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217052120 is an abundant number, since it is smaller than the sum of its proper divisors (271961080).

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

217052120 is a wasteful number, since it uses less digits than its factorization.

217052120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7187 (or 7183 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 217052120 is about 14732.6888245154. The cubic root of 217052120 is about 600.9726077236.

The spelling of 217052120 in words is "two hundred seventeen million, fifty-two thousand, one hundred twenty".