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2061233226 = 23213113137569
BaseRepresentation
bin111101011011011…
…1110110001001010
312022122120111102100
41322312332301022
513210133430401
6540311214230
7102036123213
oct17266766112
95278514370
102061233226
11968570038
12496377376
1326b066740
14157a7840a
15c0e5ab86
hex7adbec4a

2061233226 has 96 divisors (see below), whose sum is σ = 4896113040. Its totient is φ = 622927872.

The previous prime is 2061233177. The next prime is 2061233233. The reversal of 2061233226 is 6223321602.

2061233226 is a `hidden beast` number, since 20 + 612 + 3 + 3 + 2 + 26 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 31640625 + 2029592601 = 5625^2 + 45051^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2061233226.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3622270 + ... + 3622838.

Almost surely, 22061233226 is an apocalyptic number.

2061233226 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2061233226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448056520).

2061233226 is an abundant number, since it is smaller than the sum of its proper divisors (2834879814).

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

2061233226 is a wasteful number, since it uses less digits than its factorization.

2061233226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2061233226 is about 45400.8064465820. The cubic root of 2061233226 is about 1272.6501845403.

Adding to 2061233226 its reverse (6223321602), we get a palindrome (8284554828).

The spelling of 2061233226 in words is "two billion, sixty-one million, two hundred thirty-three thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 113 117 137 226 234 274 339 411 569 678 822 1017 1138 1233 1469 1707 1781 2034 2466 2938 3414 3562 4407 5121 5343 7397 8814 10242 10686 13221 14794 15481 16029 22191 26442 30962 32058 44382 46443 64297 66573 77953 92886 128594 133146 139329 155906 192891 201253 233859 278658 385782 402506 467718 578673 603759 701577 835861 1013389 1157346 1207518 1403154 1671722 1811277 2026778 2507583 3040167 3622554 5015166 6080334 7522749 8808689 9120501 15045498 17617378 18241002 26426067 52852134 79278201 114512957 158556402 229025914 343538871 687077742 1030616613 2061233226