228429040 has 80 divisors (see below), whose sum is σ = 621835200. Its totient is φ = 76400640.

The previous prime is 228428947. The next prime is 228429043. The reversal of 228429040 is 40924822.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 228428993 and 228429011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228429043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17986 + ... + 27934.

It is an arithmetic number, because the mean of its divisors is an integer number (7772940).

Almost surely, 2^228429040 is an apocalyptic number.

228429040 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 228429040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310917600).

228429040 is an abundant number, since it is smaller than the sum of its proper divisors (393406160).

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

228429040 is a wasteful number, since it uses less digits than its factorization.

228429040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10010 (or 10004 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 228429040 is about 15113.8691273942. The cubic root of 228429040 is about 611.2944294357.

The spelling of 228429040 in words is "two hundred twenty-eight million, four hundred twenty-nine thousand, forty".