168100224 has 64 divisors (see below), whose sum is σ = 451219440. Its totient is φ = 55443456.

The previous prime is 168100217. The next prime is 168100237. The reversal of 168100224 is 422001861.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 168100194 and 168100203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34992 + ... + 39504.

Almost surely, 2^168100224 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 168100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225609720).

168100224 is an abundant number, since it is smaller than the sum of its proper divisors (283119216).

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

168100224 is an equidigital number, since it uses as much as digits as its factorization.

168100224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4627 (or 4615 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 168100224 is about 12965.3470451045. The cubic root of 168100224 is about 551.8945398194.

The spelling of 168100224 in words is "one hundred sixty-eight million, one hundred thousand, two hundred twenty-four".