211226016 has 48 divisors (see below), whose sum is σ = 555224544. Its totient is φ = 70312704.

The previous prime is 211225957. The next prime is 211226017. The reversal of 211226016 is 610622112.

It is a tau number, because it is divible by the number of its divisors (48).

211226016 is a modest number, since divided by 26016 gives 2112 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 211225983 and 211226001.

It is not an unprimeable number, because it can be changed into a prime (211226017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121731 + ... + 123453.

It is an arithmetic number, because the mean of its divisors is an integer number (11567178).

Almost surely, 2^211226016 is an apocalyptic number.

It is an amenable number.

211226016 is an abundant number, since it is smaller than the sum of its proper divisors (343998528).

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

211226016 is a wasteful number, since it uses less digits than its factorization.

211226016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3013 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 211226016 is about 14533.6167556462. The cubic root of 211226016 is about 595.5466726809.

Adding to 211226016 its reverse (610622112), we get a palindrome (821848128).

The spelling of 211226016 in words is "two hundred eleven million, two hundred twenty-six thousand, sixteen".