213415120 has 20 divisors (see below), whose sum is σ = 496190340. Its totient is φ = 85366016.

The previous prime is 213415117. The next prime is 213415141. The reversal of 213415120 is 21514312.

It can be written as a sum of positive squares in 2 ways, for example, as 127148176 + 86266944 = 11276^2 + 9288^2 .

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

It is a super-2 number, since 2×213415120² = 91092026889228800, 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 (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1333765 + ... + 1333924.

It is an arithmetic number, because the mean of its divisors is an integer number (24809517).

Almost surely, 2^213415120 is an apocalyptic number.

213415120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213415120 is an abundant number, since it is smaller than the sum of its proper divisors (282775220).

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

213415120 is a wasteful number, since it uses less digits than its factorization.

213415120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667702 (or 2667696 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 213415120 is about 14608.7343736547. The cubic root of 213415120 is about 597.5969812760.

Adding to 213415120 its reverse (21514312), we get a palindrome (234929432).

The spelling of 213415120 in words is "two hundred thirteen million, four hundred fifteen thousand, one hundred twenty".