228260640 has 96 divisors (see below), whose sum is σ = 721828800. Its totient is φ = 60632064.

The previous prime is 228260629. The next prime is 228260677. The reversal of 228260640 is 46062822.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 228260598 and 228260607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146586 + ... + 148134.

It is an arithmetic number, because the mean of its divisors is an integer number (7519050).

Almost surely, 2^228260640 is an apocalyptic number.

228260640 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 228260640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360914400).

228260640 is an abundant number, since it is smaller than the sum of its proper divisors (493568160).

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

228260640 is a wasteful number, since it uses less digits than its factorization.

228260640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 228260640 is about 15108.2970582392. The cubic root of 228260640 is about 611.1441752052.

The spelling of 228260640 in words is "two hundred twenty-eight million, two hundred sixty thousand, six hundred forty".