229654272720 has 320 divisors, whose sum is σ = 740158341120. Its totient is φ = 58866683904.

The previous prime is 229654272719. The next prime is 229654272779. The reversal of 229654272720 is 27272456922.

229654272720 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 229654272720.

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 63 ways as a sum of consecutive naturals, for example, 179557041 + ... + 179558319.

It is an arithmetic number, because the mean of its divisors is an integer number (2312994816).

Almost surely, 2^229654272720 is an apocalyptic number.

229654272720 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 229654272720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370079170560).

229654272720 is an abundant number, since it is smaller than the sum of its proper divisors (510504068400).

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

229654272720 is a wasteful number, since it uses less digits than its factorization.

229654272720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 229654272720 in words is "two hundred twenty-nine billion, six hundred fifty-four million, two hundred seventy-two thousand, seven hundred twenty".