216414132 has 48 divisors (see below), whose sum is σ = 562609152. Its totient is φ = 64182880.

The previous prime is 216414127. The next prime is 216414137. The reversal of 216414132 is 231414612.

It is an interprime number because it is at equal distance from previous prime (216414127) and next prime (216414137).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216414137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11238 + ... + 23645.

It is an arithmetic number, because the mean of its divisors is an integer number (11721024).

Almost surely, 2^216414132 is an apocalyptic number.

216414132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

216414132 is an abundant number, since it is smaller than the sum of its proper divisors (346195020).

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

216414132 is a wasteful number, since it uses less digits than its factorization.

216414132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34948 (or 34946 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 216414132 is about 14711.0207667585. The cubic root of 216414132 is about 600.3832107526.

Adding to 216414132 its reverse (231414612), we get a palindrome (447828744).

The spelling of 216414132 in words is "two hundred sixteen million, four hundred fourteen thousand, one hundred thirty-two".