229292928480 has 1728 divisors, whose sum is σ = 1003562348544. Its totient is φ = 43713331200.

The previous prime is 229292928437. The next prime is 229292928481. The reversal of 229292928480 is 84829292922.

It is a super-2 number, since 2×229292928480² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 229292928480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229292928481) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2029140904 + ... + 2029141016.

It is an arithmetic number, because the mean of its divisors is an integer number (580765248).

Almost surely, 2^229292928480 is an apocalyptic number.

229292928480 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 229292928480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501781174272).

229292928480 is an abundant number, since it is smaller than the sum of its proper divisors (774269420064).

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

229292928480 is a wasteful number, since it uses less digits than its factorization.

229292928480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The spelling of 229292928480 in words is "two hundred twenty-nine billion, two hundred ninety-two million, nine hundred twenty-eight thousand, four hundred eighty".