223877952 has 224 divisors, whose sum is σ = 708111360. Its totient is φ = 69189120.

The previous prime is 223877903. The next prime is 223877959. The reversal of 223877952 is 259778322.

It is a junction number, because it is equal to n+sod(n) for n = 223877898 and 223877907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223877959) 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 31 ways as a sum of consecutive naturals, for example, 1708927 + ... + 1709057.

Almost surely, 2^223877952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223877952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354055680).

223877952 is an abundant number, since it is smaller than the sum of its proper divisors (484233408).

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

223877952 is a wasteful number, since it uses less digits than its factorization.

223877952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 202 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 223877952 is about 14962.5516540462. The cubic root of 223877952 is about 607.2074738570.

The spelling of 223877952 in words is "two hundred twenty-three million, eight hundred seventy-seven thousand, nine hundred fifty-two".