228724002 has 48 divisors (see below), whose sum is σ = 542767680. Its totient is φ = 69179616.

The previous prime is 228723977. The next prime is 228724049. The reversal of 228724002 is 200427822.

228724002 is nontrivially palindromic in base 11.

It is a super-3 number, since 3×228724002³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5523 + ... + 22089.

It is an arithmetic number, because the mean of its divisors is an integer number (11307660).

Almost surely, 2^228724002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228724002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271383840).

228724002 is an abundant number, since it is smaller than the sum of its proper divisors (314043678).

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

228724002 is a wasteful number, since it uses less digits than its factorization.

228724002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16647 (or 16644 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 228724002 is about 15123.6239704642. The cubic root of 228724002 is about 611.5574302557.

The spelling of 228724002 in words is "two hundred twenty-eight million, seven hundred twenty-four thousand, two".