228736 has 16 divisors (see below), whose sum is σ = 455940. Its totient is φ = 114304.

The previous prime is 228733. The next prime is 228737. The reversal of 228736 is 637822.

228736 = T₃₈₉ + T₃₉₀ + T₃₉₁.

228736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (16).

It is a d-powerful number, because it can be written as 2¹³ + 2¹³ + 7⁴ + 8⁵ + 3¹¹ + 6² .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 766 + ... + 1021.

2²²⁸⁷³⁶ is an apocalyptic number.

228736 is the 256-th nonagonal number.

228736 is the 391-st centered triangular number.

It is an amenable number.

228736 is a deficient number, since it is larger than the sum of its proper divisors (227204).

228736 is an equidigital number, since it uses as much as digits as its factorization.

228736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1789 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 228736 is about 478.2635256843. The cubic root of 228736 is about 61.1568123402.

The spelling of 228736 in words is "two hundred twenty-eight thousand, seven hundred thirty-six".