214526020 has 48 divisors (see below), whose sum is σ = 462689136. Its totient is φ = 83520000.

The previous prime is 214525999. The next prime is 214526047. The reversal of 214526020 is 20625412.

It can be written as a sum of positive squares in 8 ways, for example, as 41550916 + 172975104 = 6446^2 + 13152^2 .

It is a junction number, because it is equal to n+sod(n) for n = 214525982 and 214526000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122350 + ... + 124090.

It is an arithmetic number, because the mean of its divisors is an integer number (9639357).

Almost surely, 2^214526020 is an apocalyptic number.

214526020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214526020 is an abundant number, since it is smaller than the sum of its proper divisors (248163116).

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

214526020 is a wasteful number, since it uses less digits than its factorization.

214526020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 214526020 is about 14646.7067970926. The cubic root of 214526020 is about 598.6320874324.

It can be divided in two parts, 21452 and 6020, that added together give a palindrome (27472).

The spelling of 214526020 in words is "two hundred fourteen million, five hundred twenty-six thousand, twenty".