224256463200 has 864 divisors, whose sum is σ = 994358356992. Its totient is φ = 46584806400.

The previous prime is 224256463187. The next prime is 224256463259. The reversal of 224256463200 is 2364652422.

224256463200 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 5 + 646 + 3 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×224256463200² (a number of 24 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 67080729 + ... + 67084071.

It is an arithmetic number, because the mean of its divisors is an integer number (1150877728).

Almost surely, 2^224256463200 is an apocalyptic number.

224256463200 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 224256463200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497179178496).

224256463200 is an abundant number, since it is smaller than the sum of its proper divisors (770101893792).

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

224256463200 is a wasteful number, since it uses less digits than its factorization.

224256463200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3409 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 224256463200 in words is "two hundred twenty-four billion, two hundred fifty-six million, four hundred sixty-three thousand, two hundred".