214221000 has 192 divisors, whose sum is σ = 771488640. Its totient is φ = 48480000.

The previous prime is 214220983. The next prime is 214221001. The reversal of 214221000 is 122412.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214221001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2120950 + ... + 2121050.

It is an arithmetic number, because the mean of its divisors is an integer number (4018170).

Almost surely, 2^214221000 is an apocalyptic number.

214221000 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 214221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385744320).

214221000 is an abundant number, since it is smaller than the sum of its proper divisors (557267640).

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

214221000 is a wasteful number, since it uses less digits than its factorization.

214221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 214221000 is about 14636.2905136513. The cubic root of 214221000 is about 598.3482347364.

Adding to 214221000 its reverse (122412), we get a palindrome (214343412).

It can be divided in two parts, 21422 and 1000, that added together give a palindrome (22422).

The spelling of 214221000 in words is "two hundred fourteen million, two hundred twenty-one thousand".