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201314032 = 24233111759
BaseRepresentation
bin10111111111111…
…00111011110000
3112000210210221021
423333330323300
5403014022112
631550505224
74663066243
oct1377747360
9460723837
10201314032
11a3700237
1257505214
133292743a
141ca4525a
1512a18907
hexbffcef0

201314032 has 40 divisors (see below), whose sum is σ = 408545280. Its totient is φ = 95916480.

The previous prime is 201314021. The next prime is 201314033. The reversal of 201314032 is 230413102.

It is a happy number.

201314032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 201313997 and 201314015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201314033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113569 + ... + 115327.

It is an arithmetic number, because the mean of its divisors is an integer number (10213632).

Almost surely, 2201314032 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 201314032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204272640).

201314032 is an abundant number, since it is smaller than the sum of its proper divisors (207231248).

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

201314032 is a wasteful number, since it uses less digits than its factorization.

201314032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2101 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 201314032 is about 14188.5176110826. The cubic root of 201314032 is about 586.0815038821.

Adding to 201314032 its reverse (230413102), we get a palindrome (431727134).

The spelling of 201314032 in words is "two hundred one million, three hundred fourteen thousand, thirty-two".

Divisors: 1 2 4 8 16 23 46 92 184 311 368 622 1244 1759 2488 3518 4976 7036 7153 14072 14306 28144 28612 40457 57224 80914 114448 161828 323656 547049 647312 1094098 2188196 4376392 8752784 12582127 25164254 50328508 100657016 201314032