211222000 has 80 divisors (see below), whose sum is σ = 557223264. Its totient is φ = 76800000.

The previous prime is 211221979. The next prime is 211222019. The reversal of 211222000 is 222112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×211222000² = 89229466568000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17200 + ... + 26800.

Almost surely, 2^211222000 is an apocalyptic number.

211222000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278611632).

211222000 is an abundant number, since it is smaller than the sum of its proper divisors (346001264).

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

211222000 is a wasteful number, since it uses less digits than its factorization.

211222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9635 (or 9619 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 211222000 is about 14533.4785925462. The cubic root of 211222000 is about 595.5428983185.

Adding to 211222000 its reverse (222112), we get a palindrome (211444112).

The spelling of 211222000 in words is "two hundred eleven million, two hundred twenty-two thousand".