216741900 has 72 divisors (see below), whose sum is σ = 628629904. Its totient is φ = 57657600.

The previous prime is 216741841. The next prime is 216741901. The reversal of 216741900 is 9147612.

It is a happy number.

It is a super-2 number, since 2×216741900² = 93954102431220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (216741901) 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 23 ways as a sum of consecutive naturals, for example, 197754 + ... + 198846.

Almost surely, 2^216741900 is an apocalyptic number.

216741900 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 216741900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314314952).

216741900 is an abundant number, since it is smaller than the sum of its proper divisors (411888004).

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

216741900 is a wasteful number, since it uses less digits than its factorization.

216741900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 216741900 is about 14722.1567713430. The cubic root of 216741900 is about 600.6861594540.

The spelling of 216741900 in words is "two hundred sixteen million, seven hundred forty-one thousand, nine hundred".