Search a number
-
+
201400332 = 223719112553
BaseRepresentation
bin11000000000100…
…10000000001100
3112000222012022120
430000102000030
5403024302312
631552412540
74663605660
oct1400220014
9460865276
10201400332
11a375a061
1257547150
13329577c3
141ca688a0
1512a3428c
hexc01200c

201400332 has 48 divisors (see below), whose sum is σ = 539922432. Its totient is φ = 57237120.

The previous prime is 201400319. The next prime is 201400373. The reversal of 201400332 is 233004102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9768 + ... + 22320.

It is an arithmetic number, because the mean of its divisors is an integer number (11248384).

Almost surely, 2201400332 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 201400332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269961216).

201400332 is an abundant number, since it is smaller than the sum of its proper divisors (338522100).

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

201400332 is a wasteful number, since it uses less digits than its factorization.

201400332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12758 (or 12756 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 201400332 is about 14191.5584767847. The cubic root of 201400332 is about 586.1652397376.

Adding to 201400332 its reverse (233004102), we get a palindrome (434404434).

The spelling of 201400332 in words is "two hundred one million, four hundred thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 191 382 573 764 1146 1337 2292 2674 4011 5348 8022 12553 16044 25106 37659 50212 75318 87871 150636 175742 263613 351484 527226 1054452 2397623 4795246 7192869 9590492 14385738 16783361 28771476 33566722 50350083 67133444 100700166 201400332