224214221952 has 216 divisors, whose sum is σ = 750915295065. Its totient is φ = 64029063168.

The previous prime is 224214221951. The next prime is 224214221981. The reversal of 224214221952 is 259122412422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

224214221952 is a `hidden beast` number, since 2 + 2 + 42 + 1 + 422 + 195 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 211430753856 + 12783468096 = 459816^2 + 113064^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=334824.

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

It is not an unprimeable number, because it can be changed into a prime (224214221951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 112499868 + ... + 112501860.

Almost surely, 2^224214221952 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 224214221952

224214221952 is an abundant number, since it is smaller than the sum of its proper divisors (526701073113).

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

224214221952 is an frugal number, since it uses more digits than its factorization.

224214221952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4020 (or 2005 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 224214221952 in words is "two hundred twenty-four billion, two hundred fourteen million, two hundred twenty-one thousand, nine hundred fifty-two".