211225504 has 48 divisors (see below), whose sum is σ = 478795968. Its totient is φ = 89851392.

The previous prime is 211225477. The next prime is 211225507. The reversal of 211225504 is 405522112.

It is not an unprimeable number, because it can be changed into a prime (211225507) 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, 27247 + ... + 34129.

It is an arithmetic number, because the mean of its divisors is an integer number (9974916).

Almost surely, 2^211225504 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 211225504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239397984).

211225504 is an abundant number, since it is smaller than the sum of its proper divisors (267570464).

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

211225504 is a wasteful number, since it uses less digits than its factorization.

211225504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7037 (or 7029 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 211225504 is about 14533.5991413001. The cubic root of 211225504 is about 595.5461914899.

Adding to 211225504 its reverse (405522112), we get a palindrome (616747616).

The spelling of 211225504 in words is "two hundred eleven million, two hundred twenty-five thousand, five hundred four".