223776864 has 48 divisors (see below), whose sum is σ = 652685040. Its totient is φ = 74592000.

The previous prime is 223776857. The next prime is 223776869. The reversal of 223776864 is 468677322.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223776869) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 128637 + ... + 130364.

It is an arithmetic number, because the mean of its divisors is an integer number (13597605).

Almost surely, 2^223776864 is an apocalyptic number.

223776864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

223776864 is an abundant number, since it is smaller than the sum of its proper divisors (428908176).

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

223776864 is a wasteful number, since it uses less digits than its factorization.

223776864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259020 (or 259006 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 223776864 is about 14959.1732391867. The cubic root of 223776864 is about 607.1160689502.

It can be divided in two parts, 22377 and 6864, that added together give a square (29241 = 171²).

The spelling of 223776864 in words is "two hundred twenty-three million, seven hundred seventy-six thousand, eight hundred sixty-four".