224150313505040 has 80 divisors (see below), whose sum is σ = 594251894538288. Its totient is φ = 77894769573888.

The previous prime is 224150313505009. The next prime is 224150313505049. The reversal of 224150313505040 is 40505313051422.

It can be written as a sum of positive squares in 8 ways, for example, as 28263641118736 + 195886672386304 = 5316356^2 + 13995952^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (224150313505049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6339074897 + ... + 6339110256.

Almost surely, 2^{224150313505040} is an apocalyptic number.

224150313505040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224150313505040 is an abundant number, since it is smaller than the sum of its proper divisors (370101581033248).

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

224150313505040 is a wasteful number, since it uses less digits than its factorization.

224150313505040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12678185196 (or 12678185190 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

Adding to 224150313505040 its reverse (40505313051422), we get a palindrome (264655626556462).

The spelling of 224150313505040 in words is "two hundred twenty-four trillion, one hundred fifty billion, three hundred thirteen million, five hundred five thousand, forty".