223867252224 has 1280 divisors, whose sum is σ = 869761474560. Its totient is φ = 55180984320.

The previous prime is 223867252211. The next prime is 223867252237. The reversal of 223867252224 is 422252768322.

223867252224 is a `hidden beast` number, since 2 + 2 + 38 + 6 + 72 + 522 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (223867252211) and next prime (223867252237).

It is a self number, because there is not a number n which added to its sum of digits gives 223867252224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3066674652 + ... + 3066674724.

It is an arithmetic number, because the mean of its divisors is an integer number (679501152).

Almost surely, 2^223867252224 is an apocalyptic number.

223867252224 is a gapful number since it is divisible by the number (24) 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 223867252224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434880737280).

223867252224 is an abundant number, since it is smaller than the sum of its proper divisors (645894222336).

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

223867252224 is a wasteful number, since it uses less digits than its factorization.

223867252224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 206 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The spelling of 223867252224 in words is "two hundred twenty-three billion, eight hundred sixty-seven million, two hundred fifty-two thousand, two hundred twenty-four".