216214704 has 160 divisors (see below), whose sum is σ = 669600000. Its totient is φ = 66548736.

The previous prime is 216214679. The next prime is 216214709. The reversal of 216214704 is 407412612.

It is a super-3 number, since 3×216214704³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216214709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433047 + ... + 433545.

It is an arithmetic number, because the mean of its divisors is an integer number (4185000).

Almost surely, 2^216214704 is an apocalyptic number.

216214704 is a gapful number since it is divisible by the number (24) 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 216214704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334800000).

216214704 is an abundant number, since it is smaller than the sum of its proper divisors (453385296).

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

216214704 is a wasteful number, since it uses less digits than its factorization.

216214704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 216214704 is about 14704.2410208756. The cubic root of 216214704 is about 600.1987341673.

The spelling of 216214704 in words is "two hundred sixteen million, two hundred fourteen thousand, seven hundred four".