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1233068226 = 23132329137173
BaseRepresentation
bin100100101111111…
…0010000011000010
310011221020100121120
41021133302003002
510011131140401
6322204533110
742361623045
oct11137620302
93157210546
101233068226
11583042455
122a4b51196
13168601b90
14b9a9ac5c
15733bd836
hex497f20c2

1233068226 has 128 divisors (see below), whose sum is σ = 2904491520. Its totient is φ = 345827328.

The previous prime is 1233068143. The next prime is 1233068227. The reversal of 1233068226 is 6228603321.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1233068227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7127476 + ... + 7127648.

It is an arithmetic number, because the mean of its divisors is an integer number (22691340).

Almost surely, 21233068226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1233068226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452245760).

1233068226 is an abundant number, since it is smaller than the sum of its proper divisors (1671423294).

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

1233068226 is a wasteful number, since it uses less digits than its factorization.

1233068226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380.

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 1233068226 is about 35115.0712088129. The cubic root of 1233068226 is about 1072.3314307363.

The spelling of 1233068226 in words is "one billion, two hundred thirty-three million, sixty-eight thousand, two hundred twenty-six".

Divisors: 1 2 3 6 13 23 26 29 39 46 58 69 78 87 137 138 173 174 274 299 346 377 411 519 598 667 754 822 897 1038 1131 1334 1781 1794 2001 2249 2262 3151 3562 3973 3979 4002 4498 5017 5343 6302 6747 7946 7958 8671 9453 10034 10686 11919 11937 13494 15051 17342 18906 23701 23838 23874 26013 30102 40963 47402 51649 51727 52026 65221 71103 81926 91379 103298 103454 115391 122889 130442 142206 154947 155181 182758 195663 230782 245778 274137 308113 309894 310362 346173 391326 545123 548274 616226 687329 692346 924339 1090246 1187927 1374658 1500083 1635369 1848678 2061987 2375854 3000166 3270738 3563781 4123974 4500249 7086599 7127562 8935277 9000498 14173198 15808567 17870554 21259797 26805831 31617134 42519594 47425701 53611662 94851402 205511371 411022742 616534113 1233068226