223301214400340 has 24 divisors (see below), whose sum is σ = 468939544433640. Its totient is φ = 89319153532928.

The previous prime is 223301214400339. The next prime is 223301214400373. The reversal of 223301214400340 is 43004412103322.

It can be written as a sum of positive squares in 4 ways, for example, as 113702384049424 + 109598830350916 = 10663132^2 + 10468946^2 .

It is a super-2 number, since 2×223301214400340² (a number of 29 digits) 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 (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81889205 + ... + 84572124.

It is an arithmetic number, because the mean of its divisors is an integer number (19539147684735).

Almost surely, 2^{223301214400340} is an apocalyptic number.

223301214400340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223301214400340 is an abundant number, since it is smaller than the sum of its proper divisors (245638330033300).

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

223301214400340 is a wasteful number, since it uses less digits than its factorization.

223301214400340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166528411 (or 166528409 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 223301214400340 its reverse (43004412103322), we get a palindrome (266305626503662).

The spelling of 223301214400340 in words is "two hundred twenty-three trillion, three hundred one billion, two hundred fourteen million, four hundred thousand, three hundred forty".