216601300 has 36 divisors (see below), whose sum is σ = 473211900. Its totient is φ = 86053120.

The previous prime is 216601279. The next prime is 216601313. The reversal of 216601300 is 3106612.

It can be written as a sum of positive squares in 6 ways, for example, as 49364676 + 167236624 = 7026^2 + 12932^2 .

It is a super-2 number, since 2×216601300² = 93832246323380000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7632 + ... + 22168.

It is an arithmetic number, because the mean of its divisors is an integer number (13144775).

Almost surely, 2^216601300 is an apocalyptic number.

216601300 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 216601300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236605950).

216601300 is an abundant number, since it is smaller than the sum of its proper divisors (256610600).

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

216601300 is a wasteful number, since it uses less digits than its factorization.

216601300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14700 (or 14693 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 216601300 is about 14717.3808811215. The cubic root of 216601300 is about 600.5562434220.

Adding to 216601300 its reverse (3106612), we get a palindrome (219707912).

The spelling of 216601300 in words is "two hundred sixteen million, six hundred one thousand, three hundred".