229740431760 has 240 divisors, whose sum is σ = 920525011200. Its totient is φ = 52512074496.

The previous prime is 229740431717. The next prime is 229740431761. The reversal of 229740431760 is 67134047922.

229740431760 is a `hidden beast` number, since 2 + 297 + 40 + 4 + 317 + 6 + 0 = 666.

229740431760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (229740431761) 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 47 ways as a sum of consecutive naturals, for example, 979480 + ... + 1191159.

It is an arithmetic number, because the mean of its divisors is an integer number (3835520880).

Almost surely, 2^229740431760 is an apocalyptic number.

229740431760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

229740431760 is an abundant number, since it is smaller than the sum of its proper divisors (690784579440).

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

229740431760 is a wasteful number, since it uses less digits than its factorization.

229740431760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170675 (or 2170656 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 229740431760 in words is "two hundred twenty-nine billion, seven hundred forty million, four hundred thirty-one thousand, seven hundred sixty".