214133420 has 48 divisors (see below), whose sum is σ = 481420800. Its totient is φ = 79761600.

The previous prime is 214133389. The next prime is 214133431. The reversal of 214133420 is 24331412.

214133420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 214133392 and 214133401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17645 + ... + 27195.

It is an arithmetic number, because the mean of its divisors is an integer number (10029600).

Almost surely, 2^214133420 is an apocalyptic number.

214133420 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 214133420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240710400).

214133420 is an abundant number, since it is smaller than the sum of its proper divisors (267287380).

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

214133420 is a wasteful number, since it uses less digits than its factorization.

214133420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9638 (or 9636 counting only the distinct ones).

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

The square root of 214133420 is about 14633.2983294950. The cubic root of 214133420 is about 598.2666826922.

Adding to 214133420 its reverse (24331412), we get a palindrome (238464832).

The spelling of 214133420 in words is "two hundred fourteen million, one hundred thirty-three thousand, four hundred twenty".