214011000 has 384 divisors, whose sum is σ = 856627200. Its totient is φ = 47174400.

The previous prime is 214010999. The next prime is 214011019. The reversal of 214011000 is 110412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2708961 + ... + 2709039.

It is an arithmetic number, because the mean of its divisors is an integer number (2230800).

Almost surely, 2^214011000 is an apocalyptic number.

214011000 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 214011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428313600).

214011000 is an abundant number, since it is smaller than the sum of its proper divisors (642616200).

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

214011000 is a wasteful number, since it uses less digits than its factorization.

214011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 214011000 is about 14629.1148057564. The cubic root of 214011000 is about 598.1526513423.

Adding to 214011000 its reverse (110412), we get a palindrome (214121412).

The spelling of 214011000 in words is "two hundred fourteen million, eleven thousand".