224180340000 has 240 divisors, whose sum is σ = 737147537280. Its totient is φ = 59635840000.

The previous prime is 224180339951. The next prime is 224180340029. The reversal of 224180340000 is 43081422.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25855666 + ... + 25864334.

It is an arithmetic number, because the mean of its divisors is an integer number (3071448072).

Almost surely, 2^224180340000 is an apocalyptic number.

224180340000 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 224180340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368573768640).

224180340000 is an abundant number, since it is smaller than the sum of its proper divisors (512967197280).

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

224180340000 is an equidigital number, since it uses as much as digits as its factorization.

224180340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9133 (or 9110 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 224180340000 in words is "two hundred twenty-four billion, one hundred eighty million, three hundred forty thousand".