214142420 has 48 divisors (see below), whose sum is σ = 484420608. Its totient is φ = 79284480.

The previous prime is 214142363. The next prime is 214142437. The reversal of 214142420 is 24241412.

214142420 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-3 number, since 3×214142420³ (a number of 26 digits) contains 333 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 = 214142392 and 214142401.

It is a congruent number.

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, 6752 + ... + 21768.

It is an arithmetic number, because the mean of its divisors is an integer number (10092096).

Almost surely, 2^214142420 is an apocalyptic number.

214142420 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 214142420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242210304).

214142420 is an abundant number, since it is smaller than the sum of its proper divisors (270278188).

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

214142420 is a wasteful number, since it uses less digits than its factorization.

214142420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15080 (or 15078 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 214142420 is about 14633.6058440837. The cubic root of 214142420 is about 598.2750642652.

Adding to 214142420 its reverse (24241412), we get a palindrome (238383832).

The spelling of 214142420 in words is "two hundred fourteen million, one hundred forty-two thousand, four hundred twenty".