223261314 has 16 divisors (see below), whose sum is σ = 461920320. Its totient is φ = 71854160.

The previous prime is 223261309. The next prime is 223261319. The reversal of 223261314 is 413162322.

It is an interprime number because it is at equal distance from previous prime (223261309) and next prime (223261319).

It is a super-3 number, since 3×223261314³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (223261319) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 641382 + ... + 641729.

It is an arithmetic number, because the mean of its divisors is an integer number (28870020).

Almost surely, 2^223261314 is an apocalyptic number.

223261314 is an abundant number, since it is smaller than the sum of its proper divisors (238659006).

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

223261314 is a wasteful number, since it uses less digits than its factorization.

223261314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283145.

The product of its digits is 1728, while the sum is 24.

The square root of 223261314 is about 14941.9314012614. The cubic root of 223261314 is about 606.6494741468.

It can be divided in two parts, 2232 and 61314, that added together give a triangular number (63546 = T₃₅₆).

The spelling of 223261314 in words is "two hundred twenty-three million, two hundred sixty-one thousand, three hundred fourteen".