224268912 has 200 divisors, whose sum is σ = 756201600. Its totient is φ = 62840448.

The previous prime is 224268901. The next prime is 224268923. The reversal of 224268912 is 219862422.

It is an interprime number because it is at equal distance from previous prime (224268901) and next prime (224268923).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 535039 + ... + 535457.

It is an arithmetic number, because the mean of its divisors is an integer number (3781008).

Almost surely, 2^224268912 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 224268912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378100800).

224268912 is an abundant number, since it is smaller than the sum of its proper divisors (531932688).

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

224268912 is a wasteful number, since it uses less digits than its factorization.

224268912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 490 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 224268912 is about 14975.6105718598. The cubic root of 224268912 is about 607.5607255255.

It can be divided in two parts, 224 and 268912, that multiplied together give a cube (60236288 = 392³).

The spelling of 224268912 in words is "two hundred twenty-four million, two hundred sixty-eight thousand, nine hundred twelve".