211114000 has 40 divisors (see below), whose sum is σ = 510478488. Its totient is φ = 84444800.

The previous prime is 211113979. The next prime is 211114009. The reversal of 211114000 is 411112.

It can be written as a sum of positive squares in 4 ways, for example, as 2715904 + 208398096 = 1648^2 + 14436^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is not an unprimeable number, because it can be changed into a prime (211114009) 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, 50779 + ... + 54778.

Almost surely, 2^211114000 is an apocalyptic number.

211114000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211114000 is an abundant number, since it is smaller than the sum of its proper divisors (299364488).

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

211114000 is a wasteful number, since it uses less digits than its factorization.

211114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105580 (or 105564 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 211114000 is about 14529.7625582802. The cubic root of 211114000 is about 595.4413785930.

Adding to 211114000 its reverse (411112), we get a palindrome (211525112).

The spelling of 211114000 in words is "two hundred eleven million, one hundred fourteen thousand".