224166096 has 320 divisors, whose sum is σ = 839946240. Its totient is φ = 55503360.

The previous prime is 224166083. The next prime is 224166101. The reversal of 224166096 is 690661422.

224166096 is a `hidden beast` number, since 2 + 2 + 41 + 6 + 609 + 6 = 666.

It is a super-3 number, since 3×224166096³ (a number of 26 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 224166096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 764926 + ... + 765218.

It is an arithmetic number, because the mean of its divisors is an integer number (2624832).

Almost surely, 2^224166096 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 224166096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419973120).

224166096 is an abundant number, since it is smaller than the sum of its proper divisors (615780144).

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

224166096 is a wasteful number, since it uses less digits than its factorization.

224166096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 224166096 is about 14972.1773967583. The cubic root of 224166096 is about 607.4678660034.

The spelling of 224166096 in words is "two hundred twenty-four million, one hundred sixty-six thousand, ninety-six".