229432045590 has 320 divisors, whose sum is σ = 703594501632. Its totient is φ = 53100748800.

The previous prime is 229432045571. The next prime is 229432045607. The reversal of 229432045590 is 95540234922.

229432045590 is a `hidden beast` number, since 2 + 2 + 94 + 3 + 2 + 0 + 4 + 559 + 0 = 666.

229432045590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×229432045590² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 198986454 + ... + 198987606.

Almost surely, 2^229432045590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229432045590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351797250816).

229432045590 is an abundant number, since it is smaller than the sum of its proper divisors (474162456042).

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

229432045590 is a wasteful number, since it uses less digits than its factorization.

229432045590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 229432045590 in words is "two hundred twenty-nine billion, four hundred thirty-two million, forty-five thousand, five hundred ninety".