208748232 has 288 divisors, whose sum is σ = 745970400. Its totient is φ = 53887680.

The previous prime is 208748213. The next prime is 208748233. The reversal of 208748232 is 232847802.

208748232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (208748233) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1280583 + ... + 1280745.

It is an arithmetic number, because the mean of its divisors is an integer number (2590175).

Almost surely, 2^208748232 is an apocalyptic number.

208748232 is a gapful number since it is divisible by the number (22) 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 208748232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372985200).

208748232 is an abundant number, since it is smaller than the sum of its proper divisors (537222168).

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

208748232 is a wasteful number, since it uses less digits than its factorization.

208748232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 208748232 is about 14448.1220925074. The cubic root of 208748232 is about 593.2088232052.

The spelling of 208748232 in words is "two hundred eight million, seven hundred forty-eight thousand, two hundred thirty-two".