214221520 has 20 divisors (see below), whose sum is σ = 498065220. Its totient is φ = 85688576.

The previous prime is 214221509. The next prime is 214221533. The reversal of 214221520 is 25122412.

214221520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 123743376 + 90478144 = 11124^2 + 9512^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×214221520² = 91781719262220800, which contains 22 as substring.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 1338805 + ... + 1338964.

It is an arithmetic number, because the mean of its divisors is an integer number (24903261).

Almost surely, 2^214221520 is an apocalyptic number.

214221520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214221520 is an abundant number, since it is smaller than the sum of its proper divisors (283843700).

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

214221520 is a wasteful number, since it uses less digits than its factorization.

214221520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677782 (or 2677776 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 214221520 is about 14636.3082777045. The cubic root of 214221520 is about 598.3487188794.

Adding to 214221520 its reverse (25122412), we get a palindrome (239343932).

The spelling of 214221520 in words is "two hundred fourteen million, two hundred twenty-one thousand, five hundred twenty".