216011772 has 90 divisors (see below), whose sum is σ = 581563752. Its totient is φ = 69914016.

The previous prime is 216011771. The next prime is 216011777. The reversal of 216011772 is 277110612.

216011772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×216011772² = 93322171285159968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216011771) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 443313 + ... + 443799.

Almost surely, 2^216011772 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 216011772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290781876).

216011772 is an abundant number, since it is smaller than the sum of its proper divisors (365551980).

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

216011772 is a wasteful number, since it uses less digits than its factorization.

216011772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 216011772 is about 14697.3389428155. The cubic root of 216011772 is about 600.0108998020.

The spelling of 216011772 in words is "two hundred sixteen million, eleven thousand, seven hundred seventy-two".