224426880 has 192 divisors, whose sum is σ = 792417600. Its totient is φ = 58503168.

The previous prime is 224426861. The next prime is 224426899. The reversal of 224426880 is 88624422.

It is a happy number.

224426880 is a `hidden beast` number, since 224 + 426 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (224426861) and next prime (224426899).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270306 + ... + 271134.

It is an arithmetic number, because the mean of its divisors is an integer number (4127175).

Almost surely, 2^224426880 is an apocalyptic number.

224426880 is a gapful number since it is divisible by the number (20) 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 224426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396208800).

224426880 is an abundant number, since it is smaller than the sum of its proper divisors (567990720).

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

224426880 is a wasteful number, since it uses less digits than its factorization.

224426880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 224426880 is about 14980.8838190542. The cubic root of 224426880 is about 607.7033409638.

The spelling of 224426880 in words is "two hundred twenty-four million, four hundred twenty-six thousand, eight hundred eighty".