Search a number
-
+
201455268 = 22372397863
BaseRepresentation
bin11000000000111…
…11011010100100
3112001001222200020
430000133122210
5403033032033
631553515140
74664225100
oct1400373244
9461058606
10201455268
11a3797363
1257572ab0
1332976801
141ca80900
1512a456b3
hexc01f6a4

201455268 has 72 divisors (see below), whose sum is σ = 548819712. Its totient is φ = 57347136.

The previous prime is 201455249. The next prime is 201455297. The reversal of 201455268 is 862554102.

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, 233005 + ... + 233867.

It is an arithmetic number, because the mean of its divisors is an integer number (7622496).

Almost surely, 2201455268 is an apocalyptic number.

201455268 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 201455268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274409856).

201455268 is an abundant number, since it is smaller than the sum of its proper divisors (347364444).

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

201455268 is a wasteful number, since it uses less digits than its factorization.

201455268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 201455268 is about 14193.4938616255. The cubic root of 201455268 is about 586.2185310204.

The spelling of 201455268 in words is "two hundred one million, four hundred fifty-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 397 588 794 863 1191 1588 1726 2382 2589 2779 3452 4764 5178 5558 6041 8337 10356 11116 12082 16674 18123 19453 24164 33348 36246 38906 42287 58359 72492 77812 84574 116718 126861 169148 233436 253722 342611 507444 685222 1027833 1370444 2055666 2398277 4111332 4796554 7194831 9593108 14389662 16787939 28779324 33575878 50363817 67151756 100727634 201455268