Search a number
-
+
206997168 = 243721731167
BaseRepresentation
bin11000101011010…
…00011010110000
3112102111112201210
430111220122300
5410442402133
632312400120
75062306200
oct1425503260
9472445653
10206997168
11a6932044
12593a6040
1333b67141
141d6c4400
151328c763
hexc5686b0

206997168 has 240 divisors, whose sum is σ = 683956224. Its totient is φ = 53544960.

The previous prime is 206997149. The next prime is 206997181. The reversal of 206997168 is 861799602.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1239421 + ... + 1239587.

Almost surely, 2206997168 is an apocalyptic number.

206997168 is a gapful number since it is divisible by the number (28) 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 206997168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341978112).

206997168 is an abundant number, since it is smaller than the sum of its proper divisors (476959056).

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

206997168 is a wasteful number, since it uses less digits than its factorization.

206997168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 206997168 is about 14387.3961507981. The cubic root of 206997168 is about 591.5454722695.

The spelling of 206997168 in words is "two hundred six million, nine hundred ninety-seven thousand, one hundred sixty-eight".