208233168 has 160 divisors (see below), whose sum is σ = 659957760. Its totient is φ = 55672320.

The previous prime is 208233149. The next prime is 208233197. The reversal of 208233168 is 861332802.

It is a super-2 number, since 2×208233168² = 86722104510632448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157213 + ... + 158531.

It is an arithmetic number, because the mean of its divisors is an integer number (4124736).

Almost surely, 2^208233168 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 208233168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329978880).

208233168 is an abundant number, since it is smaller than the sum of its proper divisors (451724592).

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

208233168 is a wasteful number, since it uses less digits than its factorization.

208233168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 208233168 is about 14430.2864836427. The cubic root of 208233168 is about 592.7205282104.

The spelling of 208233168 in words is "two hundred eight million, two hundred thirty-three thousand, one hundred sixty-eight".