229700488320 has 192 divisors, whose sum is σ = 793598190840. Its totient is φ = 61221519360.

The previous prime is 229700488271. The next prime is 229700488321. The reversal of 229700488320 is 23884007922.

229700488320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 68925151296 + 160775337024 = 262536^2 + 400968^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (229700488321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12299790 + ... + 12318450.

Almost surely, 2^229700488320 is an apocalyptic number.

229700488320 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 229700488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396799095420).

229700488320 is an abundant number, since it is smaller than the sum of its proper divisors (563897702520).

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

229700488320 is a wasteful number, since it uses less digits than its factorization.

229700488320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20823 (or 20808 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 229700488320 in words is "two hundred twenty-nine billion, seven hundred million, four hundred eighty-eight thousand, three hundred twenty".