229148640 has 288 divisors, whose sum is σ = 905748480. Its totient is φ = 51674112.

The previous prime is 229148639. The next prime is 229148651. The reversal of 229148640 is 46841922.

229148640 is a `hidden beast` number, since 2 + 2 + 9 + 1 + 4 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 229148595 and 229148604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1280071 + ... + 1280249.

It is an arithmetic number, because the mean of its divisors is an integer number (3144960).

Almost surely, 2^229148640 is an apocalyptic number.

229148640 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 229148640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452874240).

229148640 is an abundant number, since it is smaller than the sum of its proper divisors (676599840).

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

229148640 is a wasteful number, since it uses less digits than its factorization.

229148640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 229148640 is about 15137.6563575740. The cubic root of 229148640 is about 611.9356590055.

The spelling of 229148640 in words is "two hundred twenty-nine million, one hundred forty-eight thousand, six hundred forty".