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201233032 = 237111321933
BaseRepresentation
bin10111111111010…
…01001010001000
3112000122200211021
423333221022020
5403003424112
631545042224
74662311140
oct1377511210
9460580737
10201233032
11a36553a0
1257486374
13328c9600
141ca23920
15129ee907
hexbfe9288

201233032 has 96 divisors (see below), whose sum is σ = 509647680. Its totient is φ = 72334080.

The previous prime is 201232963. The next prime is 201233033. The reversal of 201233032 is 230332102.

201233032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201232997 and 201233015.

It is not an unprimeable number, because it can be changed into a prime (201233033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103138 + ... + 105070.

It is an arithmetic number, because the mean of its divisors is an integer number (5308830).

Almost surely, 2201233032 is an apocalyptic number.

201233032 is a gapful number since it is divisible by the number (22) 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 201233032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254823840).

201233032 is an abundant number, since it is smaller than the sum of its proper divisors (308414648).

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

201233032 is a wasteful number, since it uses less digits than its factorization.

201233032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 201233032 is about 14185.6629030863. The cubic root of 201233032 is about 586.0028887789.

Adding to 201233032 its reverse (230332102), we get a palindrome (431565134).

The spelling of 201233032 in words is "two hundred one million, two hundred thirty-three thousand, thirty-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 169 182 286 308 338 364 572 616 676 728 1001 1144 1183 1352 1859 1933 2002 2366 3718 3866 4004 4732 7436 7732 8008 9464 13013 13531 14872 15464 21263 25129 26026 27062 42526 50258 52052 54124 85052 100516 104104 108248 148841 170104 175903 201032 276419 297682 326677 351806 552838 595364 653354 703612 1105676 1190728 1306708 1407224 1934933 2211352 2286739 2613416 3593447 3869866 4573478 7186894 7739732 9146956 14373788 15479464 18293912 25154129 28747576 50308258 100616516 201233032