214101540 has 36 divisors (see below), whose sum is σ = 649441884. Its totient is φ = 57093696.

The previous prime is 214101539. The next prime is 214101551. The reversal of 214101540 is 45101412.

214101540 is a `hidden beast` number, since 21 + 4 + 101 + 540 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27123264 + 186978276 = 5208^2 + 13674^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 594547 + ... + 594906.

Almost surely, 2^214101540 is an apocalyptic number.

214101540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214101540 is an abundant number, since it is smaller than the sum of its proper divisors (435340344).

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

214101540 is a wasteful number, since it uses less digits than its factorization.

214101540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189468 (or 1189463 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 214101540 is about 14632.2089924932. The cubic root of 214101540 is about 598.2369914084.

Adding to 214101540 its reverse (45101412), we get a palindrome (259202952).

The spelling of 214101540 in words is "two hundred fourteen million, one hundred one thousand, five hundred forty".