213188420 has 12 divisors (see below), whose sum is σ = 447695724. Its totient is φ = 85275360.

The previous prime is 213188411. The next prime is 213188429. The reversal of 213188420 is 24881312.

It is an interprime number because it is at equal distance from previous prime (213188411) and next prime (213188429).

It can be written as a sum of positive squares in 2 ways, for example, as 45589504 + 167598916 = 6752^2 + 12946^2 .

It is not an unprimeable number, because it can be changed into a prime (213188429) 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, 5329691 + ... + 5329730.

It is an arithmetic number, because the mean of its divisors is an integer number (37307977).

Almost surely, 2^213188420 is an apocalyptic number.

213188420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213188420 is an abundant number, since it is smaller than the sum of its proper divisors (234507304).

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

213188420 is a wasteful number, since it uses less digits than its factorization.

213188420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10659430 (or 10659428 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 213188420 is about 14600.9732552320. The cubic root of 213188420 is about 597.3853073742.

The spelling of 213188420 in words is "two hundred thirteen million, one hundred eighty-eight thousand, four hundred twenty".