229153330560 has 1024 divisors, whose sum is σ = 978220800000. Its totient is φ = 44166021120.

The previous prime is 229153330559. The next prime is 229153330561. The reversal of 229153330560 is 65033351922.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (229153330559) and next prime (229153330561).

It is a super-2 number, since 2×229153330560² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229153330561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 183468816 + ... + 183470064.

It is an arithmetic number, because the mean of its divisors is an integer number (955293750).

Almost surely, 2^229153330560 is an apocalyptic number.

229153330560 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 229153330560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489110400000).

229153330560 is an abundant number, since it is smaller than the sum of its proper divisors (749067469440).

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

229153330560 is a wasteful number, since it uses less digits than its factorization.

229153330560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 39.

The spelling of 229153330560 in words is "two hundred twenty-nine billion, one hundred fifty-three million, three hundred thirty thousand, five hundred sixty".