228709152 has 144 divisors (see below), whose sum is σ = 761709312. Its totient is φ = 63728640.

The previous prime is 228709133. The next prime is 228709153. The reversal of 228709152 is 251907822.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228709153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81273 + ... + 84039.

It is an arithmetic number, because the mean of its divisors is an integer number (5289648).

Almost surely, 2^228709152 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 228709152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380854656).

228709152 is an abundant number, since it is smaller than the sum of its proper divisors (533000160).

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

228709152 is a wasteful number, since it uses less digits than its factorization.

228709152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 228709152 is about 15123.1330087386. The cubic root of 228709152 is about 611.5441947633.

The spelling of 228709152 in words is "two hundred twenty-eight million, seven hundred nine thousand, one hundred fifty-two".