228564096 has 64 divisors (see below), whose sum is σ = 623570880. Its totient is φ = 74124288.

The previous prime is 228564079. The next prime is 228564113. The reversal of 228564096 is 690465822.

228564096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (228564079) and next prime (228564113).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6165 + ... + 22251.

It is an arithmetic number, because the mean of its divisors is an integer number (9743295).

Almost surely, 2^228564096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228564096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311785440).

228564096 is an abundant number, since it is smaller than the sum of its proper divisors (395006784).

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

228564096 is a wasteful number, since it uses less digits than its factorization.

228564096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16141 (or 16129 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 228564096 is about 15118.3364164183. The cubic root of 228564096 is about 611.4148792628.

The spelling of 228564096 in words is "two hundred twenty-eight million, five hundred sixty-four thousand, ninety-six".