217923048 has 160 divisors (see below), whose sum is σ = 705672000. Its totient is φ = 61544448.

The previous prime is 217923047. The next prime is 217923053. The reversal of 217923048 is 840329712.

It is a super-2 number, since 2×217923048² = 94980909699220608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (217923047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 485128 + ... + 485576.

It is an arithmetic number, because the mean of its divisors is an integer number (4410450).

Almost surely, 2^217923048 is an apocalyptic number.

217923048 is a gapful number since it is divisible by the number (28) 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 217923048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352836000).

217923048 is an abundant number, since it is smaller than the sum of its proper divisors (487748952).

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

217923048 is a wasteful number, since it uses less digits than its factorization.

217923048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 217923048 is about 14762.2169066844. The cubic root of 217923048 is about 601.7753417550.

The spelling of 217923048 in words is "two hundred seventeen million, nine hundred twenty-three thousand, forty-eight".