Search a number
-
+
201369168 = 2432711213127
BaseRepresentation
bin11000000000010…
…10011001010000
3112000220121120100
430000022121100
5403022303133
631552012400
74663416060
oct1400123120
9460817510
10201369168
11a3738700
1257531100
1332946570
141ca5b3a0
1512a29e13
hexc00a650

201369168 has 360 divisors, whose sum is σ = 768395264. Its totient is φ = 47900160.

The previous prime is 201369167. The next prime is 201369169. The reversal of 201369168 is 861963102.

It is an interprime number because it is at equal distance from previous prime (201369167) and next prime (201369169).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201369167) 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, 1585521 + ... + 1585647.

Almost surely, 2201369168 is an apocalyptic number.

201369168 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 201369168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384197632).

201369168 is an abundant number, since it is smaller than the sum of its proper divisors (567026096).

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

201369168 is a wasteful number, since it uses less digits than its factorization.

201369168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 201369168 is about 14190.4604576455. The cubic root of 201369168 is about 586.1350044418.

The spelling of 201369168 in words is "two hundred one million, three hundred sixty-nine thousand, one hundred sixty-eight".