213554340 has 192 divisors, whose sum is σ = 721163520. Its totient is φ = 52254720.

The previous prime is 213554311. The next prime is 213554353. The reversal of 213554340 is 43455312.

It is a super-2 number, since 2×213554340² = 91210912265671200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 394470 + ... + 395010.

It is an arithmetic number, because the mean of its divisors is an integer number (3756060).

Almost surely, 2^213554340 is an apocalyptic number.

213554340 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 213554340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360581760).

213554340 is an abundant number, since it is smaller than the sum of its proper divisors (507609180).

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

213554340 is a wasteful number, since it uses less digits than its factorization.

213554340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 213554340 is about 14613.4985544188. The cubic root of 213554340 is about 597.7268992299.

The spelling of 213554340 in words is "two hundred thirteen million, five hundred fifty-four thousand, three hundred forty".