229986641520 has 320 divisors, whose sum is σ = 860773478400. Its totient is φ = 56227322880.

The previous prime is 229986641503. The next prime is 229986641527. The reversal of 229986641520 is 25146689922.

229986641520 is a `hidden beast` number, since 2 + 29 + 98 + 6 + 6 + 4 + 1 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229986641527) 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 63 ways as a sum of consecutive naturals, for example, 1181854 + ... + 1362626.

It is an arithmetic number, because the mean of its divisors is an integer number (2689917120).

Almost surely, 2^229986641520 is an apocalyptic number.

229986641520 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 229986641520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430386739200).

229986641520 is an abundant number, since it is smaller than the sum of its proper divisors (630786836880).

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

229986641520 is a wasteful number, since it uses less digits than its factorization.

229986641520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180845 (or 180833 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 229986641520 in words is "two hundred twenty-nine billion, nine hundred eighty-six million, six hundred forty-one thousand, five hundred twenty".