229772561760 has 384 divisors, whose sum is σ = 930733977600. Its totient is φ = 51854100480.

The previous prime is 229772561719. The next prime is 229772561761. The reversal of 229772561760 is 67165277922.

It is a happy number.

229772561760 is a `hidden beast` number, since 2 + 2 + 9 + 7 + 7 + 2 + 561 + 76 + 0 = 666.

229772561760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 229772561697 and 229772561706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229772561761) 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 63 ways as a sum of consecutive naturals, for example, 2340870 + ... + 2437050.

It is an arithmetic number, because the mean of its divisors is an integer number (2423786400).

Almost surely, 2^229772561760 is an apocalyptic number.

229772561760 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 229772561760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465366988800).

229772561760 is an abundant number, since it is smaller than the sum of its proper divisors (700961415840).

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

229772561760 is a wasteful number, since it uses less digits than its factorization.

229772561760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96291 (or 96277 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 229772561760 in words is "two hundred twenty-nine billion, seven hundred seventy-two million, five hundred sixty-one thousand, seven hundred sixty".