224113220010 has 128 divisors (see below), whose sum is σ = 621002833920. Its totient is φ = 57452328000.

The previous prime is 224113219969. The next prime is 224113220029. The reversal of 224113220010 is 10022311422.

It is a happy number.

224113220010 is a `hidden beast` number, since 22 + 411 + 3 + 220 + 0 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1175209 + ... + 1352531.

It is an arithmetic number, because the mean of its divisors is an integer number (4851584640).

Almost surely, 2^224113220010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224113220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310501416960).

224113220010 is an abundant number, since it is smaller than the sum of its proper divisors (396889613910).

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

224113220010 is a wasteful number, since it uses less digits than its factorization.

224113220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177521 (or 177515 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 224113220010 its reverse (10022311422), we get a palindrome (234135531432).

The spelling of 224113220010 in words is "two hundred twenty-four billion, one hundred thirteen million, two hundred twenty thousand, ten".