211146000 has 160 divisors (see below), whose sum is σ = 733369728. Its totient is φ = 51955200.

The previous prime is 211145959. The next prime is 211146007. The reversal of 211146000 is 641112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (211146007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76647 + ... + 79353.

Almost surely, 2^211146000 is an apocalyptic number.

211146000 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 211146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366684864).

211146000 is an abundant number, since it is smaller than the sum of its proper divisors (522223728).

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

211146000 is a wasteful number, since it uses less digits than its factorization.

211146000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 211146000 is about 14530.8637045428. The cubic root of 211146000 is about 595.4714621205.

Adding to 211146000 its reverse (641112), we get a palindrome (211787112).

The spelling of 211146000 in words is "two hundred eleven million, one hundred forty-six thousand".