224000000000100 has 288 divisors, whose sum is σ = 722707875402240. Its totient is φ = 59518770554880.

The previous prime is 224000000000083. The next prime is 224000000000111. The reversal of 224000000000100 is 1000000000422.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 223999999999992 and 224000000000082.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1467592389 + ... + 1467745011.

Almost surely, 2^{224000000000100} is an apocalyptic number.

224000000000100 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 224000000000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361353937701120).

224000000000100 is an abundant number, since it is smaller than the sum of its proper divisors (498707875402140).

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

224000000000100 is a wasteful number, since it uses less digits than its factorization.

224000000000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154596 (or 154583 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 224000000000100 its reverse (1000000000422), we get a palindrome (225000000000522).

The spelling of 224000000000100 in words is "two hundred twenty-four trillion, one hundred", and thus it is an aban number.