224712714240 has 1728 divisors, whose sum is σ = 999165585600. Its totient is φ = 48157949952.

The previous prime is 224712714229. The next prime is 224712714263. The reversal of 224712714240 is 42417217422.

224712714240 is a `hidden beast` number, since 2 + 2 + 471 + 2 + 7 + 142 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×224712714240² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 224712714195 and 224712714204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2316625872 + ... + 2316625968.

It is an arithmetic number, because the mean of its divisors is an integer number (578220825).

Almost surely, 2^224712714240 is an apocalyptic number.

224712714240 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 224712714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499582792800).

224712714240 is an abundant number, since it is smaller than the sum of its proper divisors (774452871360).

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

224712714240 is an equidigital number, since it uses as much as digits as its factorization.

224712714240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 224712714240 in words is "two hundred twenty-four billion, seven hundred twelve million, seven hundred fourteen thousand, two hundred forty".