216233472 has 360 divisors, whose sum is σ = 768305736. Its totient is φ = 53673984.

The previous prime is 216233443. The next prime is 216233473. The reversal of 216233472 is 274332612.

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

Its product of digits (12096) is a multiple of the sum of its prime divisors (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216233473) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12719608 + ... + 12719624.

Almost surely, 2^216233472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216233472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384152868).

216233472 is an abundant number, since it is smaller than the sum of its proper divisors (552072264).

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

216233472 is a wasteful number, since it uses less digits than its factorization.

216233472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 42 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 216233472 is about 14704.8791902552. The cubic root of 216233472 is about 600.2160999365.

The spelling of 216233472 in words is "two hundred sixteen million, two hundred thirty-three thousand, four hundred seventy-two".