214270020 has 144 divisors (see below), whose sum is σ = 669789120. Its totient is φ = 55427328.

The previous prime is 214269971. The next prime is 214270051. The reversal of 214270020 is 20072412.

214270020 is digitally balanced in base 3, 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 214269975 and 214270002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1314459 + ... + 1314621.

Almost surely, 2^214270020 is an apocalyptic number.

214270020 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 214270020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334894560).

214270020 is an abundant number, since it is smaller than the sum of its proper divisors (455519100).

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

214270020 is a wasteful number, since it uses less digits than its factorization.

214270020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 214270020 is about 14637.9650225023. The cubic root of 214270020 is about 598.3938710862.

The spelling of 214270020 in words is "two hundred fourteen million, two hundred seventy thousand, twenty".