214334120 has 256 divisors, whose sum is σ = 666247680. Its totient is φ = 59904000.

The previous prime is 214334119. The next prime is 214334123. The reversal of 214334120 is 21433412.

214334120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214334120² = 91878229992348800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 214334092 and 214334101.

It is not an unprimeable number, because it can be changed into a prime (214334123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2122070 + ... + 2122170.

It is an arithmetic number, because the mean of its divisors is an integer number (2602530).

Almost surely, 2^214334120 is an apocalyptic number.

214334120 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 214334120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333123840).

214334120 is an abundant number, since it is smaller than the sum of its proper divisors (451913560).

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

214334120 is a wasteful number, since it uses less digits than its factorization.

214334120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 214334120 is about 14640.1543707708. The cubic root of 214334120 is about 598.4535360250.

Adding to 214334120 its reverse (21433412), we get a palindrome (235767532).

It can be divided in two parts, 2143 and 34120, that added together give a palindrome (36263).

The spelling of 214334120 in words is "two hundred fourteen million, three hundred thirty-four thousand, one hundred twenty".