229872640 has 176 divisors, whose sum is σ = 619012800. Its totient is φ = 81395712.

The previous prime is 229872631. The next prime is 229872641. The reversal of 229872640 is 46278922.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 229872593 and 229872602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229872641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1653691 + ... + 1653829.

Almost surely, 2^229872640 is an apocalyptic number.

229872640 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 229872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309506400).

229872640 is an abundant number, since it is smaller than the sum of its proper divisors (389140160).

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

229872640 is a wasteful number, since it uses less digits than its factorization.

229872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 229872640 is about 15161.5513718089. The cubic root of 229872640 is about 612.5794560257.

The spelling of 229872640 in words is "two hundred twenty-nine million, eight hundred seventy-two thousand, six hundred forty".