214381520 has 30 divisors (see below), whose sum is σ = 498741702. Its totient is φ = 85700224.

The previous prime is 214381513. The next prime is 214381537. The reversal of 214381520 is 25183412.

214381520 is digitally balanced in base 2, 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 3 ways, for example, as 17372224 + 197009296 = 4168^2 + 14036^2 .

It is a super-2 number, since 2×214381520² = 91918872235020800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 214381520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 130142 + ... + 131778.

Almost surely, 2^214381520 is an apocalyptic number.

214381520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214381520 is an abundant number, since it is smaller than the sum of its proper divisors (284360182).

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

214381520 is an frugal number, since it uses more digits than its factorization.

214381520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3287 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 214381520 is about 14641.7731166686. The cubic root of 214381520 is about 598.4976487818.

The spelling of 214381520 in words is "two hundred fourteen million, three hundred eighty-one thousand, five hundred twenty".