211946000 has 80 divisors (see below), whose sum is σ = 585736320. Its totient is φ = 72662400.

The previous prime is 211945999. The next prime is 211946003. The reversal of 211946000 is 649112.

It is a happy number.

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

It is a super-2 number, since 2×211946000² = 89842213832000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211946003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6431 + ... + 21569.

It is an arithmetic number, because the mean of its divisors is an integer number (7321704).

Almost surely, 2^211946000 is an apocalyptic number.

211946000 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 211946000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292868160).

211946000 is an abundant number, since it is smaller than the sum of its proper divisors (373790320).

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

211946000 is a wasteful number, since it uses less digits than its factorization.

211946000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15169 (or 15153 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 211946000 is about 14558.3652928480. The cubic root of 211946000 is about 596.2225645058. Note that the first 3 decimals are identical.

The spelling of 211946000 in words is "two hundred eleven million, nine hundred forty-six thousand".