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190601223241 = 112132432712
BaseRepresentation
bin1011000110000010110…
…1111101110001001001
3200012222022211100121111
42301200231331301021
511110322403120431
6223321101410321
716525163444332
oct2614055756111
9605868740544
10190601223241
1173919470100
1230b33b699a1
1314c87068300
149321b43289
154e582767b1
hex2c60b7dc49

190601223241 has 81 divisors (see below), whose sum is σ = 235574966151. Its totient is φ = 154025071200.

The previous prime is 190601223227. The next prime is 190601223311. The reversal of 190601223241 is 142322106091.

The square root of 190601223241 is 436579.

It is a perfect power (a square), and thus also a powerful number.

190601223241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 28195447225 + 162405776016 = 167915^2 + 402996^2 .

It is not a de Polignac number, because 190601223241 - 235 = 156241484873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (190601223221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2684524236 + ... + 2684524306.

Almost surely, 2190601223241 is an apocalyptic number.

190601223241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

190601223241 is the 436579-th square number.

190601223241 is the 218290-th centered octagonal number.

It is an amenable number.

190601223241 is a deficient number, since it is larger than the sum of its proper divisors (44973742910).

190601223241 is an equidigital number, since it uses as much as digits as its factorization.

190601223241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

Multiplying 190601223241 by its product of nonzero digits (5184), we get a square (988076741281344 = 314336882).

The spelling of 190601223241 in words is "one hundred ninety billion, six hundred one million, two hundred twenty-three thousand, two hundred forty-one".

Divisors: 1 11 13 43 71 121 143 169 473 559 781 923 1573 1849 1859 3053 5041 5203 6149 7267 8591 10153 11999 20339 20449 24037 33583 39689 55451 65533 67639 79937 111683 131279 131989 216763 223729 264407 312481 369413 436579 515957 609961 720863 851929 879307 1444069 1451879 1706627 2384393 2817919 2908477 3437291 4802369 5675527 7929493 9320809 9371219 15884759 18772897 22186151 26228323 30997109 36632947 37810201 62430797 102528899 103083409 121170517 206501867 244047661 340968199 402962417 1127817889 1332875687 1575216721 2684524271 4432586587 14661632557 17327383931 190601223241