229400248320 has 864 divisors, whose sum is σ = 883317052800. Its totient is φ = 54811164672.

The previous prime is 229400248313. The next prime is 229400248321. The reversal of 229400248320 is 23842004922.

229400248320 is a `hidden beast` number, since 2 + 2 + 9 + 400 + 248 + 3 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (229400248321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2577530836 + ... + 2577530924.

It is an arithmetic number, because the mean of its divisors is an integer number (1022357700).

Almost surely, 2^229400248320 is an apocalyptic number.

229400248320 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 229400248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441658526400).

229400248320 is an abundant number, since it is smaller than the sum of its proper divisors (653916804480).

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

229400248320 is an equidigital number, since it uses as much as digits as its factorization.

229400248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 229400248320 in words is "two hundred twenty-nine billion, four hundred million, two hundred forty-eight thousand, three hundred twenty".