213422880 has 192 divisors, whose sum is σ = 743758848. Its totient is φ = 51010560.

The previous prime is 213422863. The next prime is 213422897. The reversal of 213422880 is 88224312.

It is a Cunningham number, because it is equal to 14609²-1.

It is an interprime number because it is at equal distance from previous prime (213422863) and next prime (213422897).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437997 + ... + 438483.

It is an arithmetic number, because the mean of its divisors is an integer number (3873744).

Almost surely, 2^213422880 is an apocalyptic number.

213422880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213422880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371879424).

213422880 is an abundant number, since it is smaller than the sum of its proper divisors (530335968).

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

213422880 is a wasteful number, since it uses less digits than its factorization.

213422880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 213422880 is about 14608.9999657745. Note that the first 4 decimals coincide. The cubic root of 213422880 is about 597.6042242748.

The spelling of 213422880 in words is "two hundred thirteen million, four hundred twenty-two thousand, eight hundred eighty".