216141900 has 144 divisors (see below), whose sum is σ = 679685664. Its totient is φ = 52715520.

The previous prime is 216141869. The next prime is 216141907. The reversal of 216141900 is 9141612.

It is a super-2 number, since 2×216141900² = 93434641871220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216141907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 612124 + ... + 612476.

Almost surely, 2^216141900 is an apocalyptic number.

216141900 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 216141900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339842832).

216141900 is an abundant number, since it is smaller than the sum of its proper divisors (463543764).

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

216141900 is a wasteful number, since it uses less digits than its factorization.

216141900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 216141900 is about 14701.7652001384. The cubic root of 216141900 is about 600.1313601277.

The spelling of 216141900 in words is "two hundred sixteen million, one hundred forty-one thousand, nine hundred".