214233120 has 192 divisors, whose sum is σ = 758782080. Its totient is φ = 56448000.

The previous prime is 214233119. The next prime is 214233127. The reversal of 214233120 is 21332412.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 214233093 and 214233102.

It is not an unprimeable number, because it can be changed into a prime (214233127) 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, 436075 + ... + 436565.

It is an arithmetic number, because the mean of its divisors is an integer number (3951990).

Almost surely, 2^214233120 is an apocalyptic number.

214233120 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 214233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379391040).

214233120 is an abundant number, since it is smaller than the sum of its proper divisors (544548960).

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

214233120 is a wasteful number, since it uses less digits than its factorization.

214233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 214233120 is about 14636.7045471308. The cubic root of 214233120 is about 598.3595187901.

Adding to 214233120 its reverse (21332412), we get a palindrome (235565532).

The spelling of 214233120 in words is "two hundred fourteen million, two hundred thirty-three thousand, one hundred twenty".