224102311020 has 288 divisors, whose sum is σ = 811739335680. Its totient is φ = 48931407360.

The previous prime is 224102311009. The next prime is 224102311049. The reversal of 224102311020 is 20113201422.

It is a happy number.

224102311020 is a `hidden beast` number, since 2 + 2 + 410 + 231 + 1 + 0 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 224102310984 and 224102311002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23787871 + ... + 23797289.

It is an arithmetic number, because the mean of its divisors is an integer number (2818539360).

Almost surely, 2^224102311020 is an apocalyptic number.

224102311020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224102311020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405869667840).

224102311020 is an abundant number, since it is smaller than the sum of its proper divisors (587637024660).

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

224102311020 is a wasteful number, since it uses less digits than its factorization.

224102311020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10285 (or 10280 counting only the distinct ones).

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

Adding to 224102311020 its reverse (20113201422), we get a palindrome (244215512442).

The spelling of 224102311020 in words is "two hundred twenty-four billion, one hundred two million, three hundred eleven thousand, twenty".