214157520 has 100 divisors (see below), whose sum is σ = 743823300. Its totient is φ = 57106944.

The previous prime is 214157507. The next prime is 214157533. The reversal of 214157520 is 25751412.

It is an interprime number because it is at equal distance from previous prime (214157507) and next prime (214157533).

It can be written as a sum of positive squares in 2 ways, for example, as 25040016 + 189117504 = 5004^2 + 13752^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10045 + ... + 23004.

It is an arithmetic number, because the mean of its divisors is an integer number (7438233).

Almost surely, 2^214157520 is an apocalyptic number.

214157520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214157520 is an abundant number, since it is smaller than the sum of its proper divisors (529665780).

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

214157520 is a wasteful number, since it uses less digits than its factorization.

214157520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33074 (or 33059 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 214157520 is about 14634.1217707111. The cubic root of 214157520 is about 598.2891261547.

The spelling of 214157520 in words is "two hundred fourteen million, one hundred fifty-seven thousand, five hundred twenty".