214101520 has 20 divisors (see below), whose sum is σ = 497786220. Its totient is φ = 85640576.

The previous prime is 214101509. The next prime is 214101529. The reversal of 214101520 is 25101412.

It can be written as a sum of positive squares in 2 ways, for example, as 62220544 + 151880976 = 7888^2 + 12324^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 214101494 and 214101503.

It is not an unprimeable number, because it can be changed into a prime (214101529) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1338055 + ... + 1338214.

It is an arithmetic number, because the mean of its divisors is an integer number (24889311).

Almost surely, 2^214101520 is an apocalyptic number.

214101520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214101520 is an abundant number, since it is smaller than the sum of its proper divisors (283684700).

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

214101520 is a wasteful number, since it uses less digits than its factorization.

214101520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2676282 (or 2676276 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 214101520 is about 14632.2083090694. The cubic root of 214101520 is about 598.2369727806.

Adding to 214101520 its reverse (25101412), we get a palindrome (239202932).

The spelling of 214101520 in words is "two hundred fourteen million, one hundred one thousand, five hundred twenty".