211772022 has 72 divisors (see below), whose sum is σ = 541647288. Its totient is φ = 54996480.

The previous prime is 211771993. The next prime is 211772023. The reversal of 211772022 is 220277112.

It is a junction number, because it is equal to n+sod(n) for n = 211771983 and 211772001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211772023) 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, 32598 + ... + 38550.

It is an arithmetic number, because the mean of its divisors is an integer number (7522879).

Almost surely, 2^211772022 is an apocalyptic number.

211772022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 211772022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270823644).

211772022 is an abundant number, since it is smaller than the sum of its proper divisors (329875266).

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

211772022 is a wasteful number, since it uses less digits than its factorization.

211772022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5994 (or 5976 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 211772022 is about 14552.3888760574. The cubic root of 211772022 is about 596.0593814233.

The spelling of 211772022 in words is "two hundred eleven million, seven hundred seventy-two thousand, twenty-two".