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201233320 = 23529473691
BaseRepresentation
bin10111111111010…
…01001110101000
3112000122201012221
423333221032220
5403003431240
631545043424
74662312031
oct1377511650
9460581187
10201233320
11a3655632
1257486574
13328c9792
141ca23a88
15129eea4a
hexbfe93a8

201233320 has 64 divisors (see below), whose sum is σ = 478483200. Its totient is φ = 76043520.

The previous prime is 201233299. The next prime is 201233339. The reversal of 201233320 is 23332102.

It is a junction number, because it is equal to n+sod(n) for n = 201233294 and 201233303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52675 + ... + 56365.

It is an arithmetic number, because the mean of its divisors is an integer number (7476300).

Almost surely, 2201233320 is an apocalyptic number.

201233320 is a gapful number since it is divisible by the number (20) 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 201233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239241600).

201233320 is an abundant number, since it is smaller than the sum of its proper divisors (277249880).

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

201233320 is a wasteful number, since it uses less digits than its factorization.

201233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3778 (or 3774 counting only the distinct ones).

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

The square root of 201233320 is about 14185.6730541769. The cubic root of 201233320 is about 586.0031683366.

Adding to 201233320 its reverse (23332102), we get a palindrome (224565422).

The spelling of 201233320 in words is "two hundred one million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 47 58 94 116 145 188 232 235 290 376 470 580 940 1160 1363 1880 2726 3691 5452 6815 7382 10904 13630 14764 18455 27260 29528 36910 54520 73820 107039 147640 173477 214078 346954 428156 535195 693908 856312 867385 1070390 1387816 1734770 2140780 3469540 4281560 5030833 6939080 10061666 20123332 25154165 40246664 50308330 100616660 201233320