208142280 has 96 divisors (see below), whose sum is σ = 699823800. Its totient is φ = 53587968.

The previous prime is 208142257. The next prime is 208142299. The reversal of 208142280 is 82241802.

It can be written as a sum of positive squares in 4 ways, for example, as 136469124 + 71673156 = 11682^2 + 8466^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472 + ... + 20408.

Almost surely, 2^208142280 is an apocalyptic number.

208142280 is a gapful number since it is divisible by the number (20) 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 208142280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349911900).

208142280 is an abundant number, since it is smaller than the sum of its proper divisors (491681520).

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

208142280 is a wasteful number, since it uses less digits than its factorization.

208142280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19983 (or 19976 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 208142280 is about 14427.1369301050. The cubic root of 208142280 is about 592.6342803061.

The spelling of 208142280 in words is "two hundred eight million, one hundred forty-two thousand, two hundred eighty".