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2233106906368 = 281313946710337
BaseRepresentation
bin100000011111101111100…
…010110011110100000000
321220111001001121122010211
4200133233202303310000
5243041400332000433
64425513011003504
7320223320342002
oct40375742636400
97814031548124
102233106906368
117910676a4828
1230095ab99594
13132772821070
147a123890372
153d14cbda8cd
hex207ef8b3d00

2233106906368 has 144 divisors (see below), whose sum is σ = 4845731567040. Its totient is φ = 1020959981568.

The previous prime is 2233106906323. The next prime is 2233106906389. The reversal of 2233106906368 is 8636096013322.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216025296 + ... + 216035632.

It is an arithmetic number, because the mean of its divisors is an integer number (33650913660).

Almost surely, 22233106906368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2233106906368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422865783520).

2233106906368 is an abundant number, since it is smaller than the sum of its proper divisors (2612624660672).

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

2233106906368 is a wasteful number, since it uses less digits than its factorization.

2233106906368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10972 (or 10958 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 49.

The spelling of 2233106906368 in words is "two trillion, two hundred thirty-three billion, one hundred six million, nine hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 139 208 256 278 416 467 556 832 934 1112 1664 1807 1868 2224 3328 3614 3736 4448 6071 7228 7472 8896 10337 12142 14456 14944 17792 20674 24284 28912 29888 35584 41348 48568 57824 59776 64913 82696 97136 115648 119552 129826 134381 165392 194272 231296 259652 268762 330784 388544 462592 519304 537524 661568 777088 843869 1038608 1075048 1323136 1436843 1554176 1687738 2077216 2150096 2646272 2873686 3375476 4154432 4300192 4827379 5747372 6750952 8308864 8600384 9654758 11494744 13501904 16617728 17200768 18678959 19309516 22989488 27003808 34401536 37357918 38619032 45978976 54007616 62755927 74715836 77238064 91957952 108015232 125511854 149431672 154476128 183915904 216030464 251023708 298863344 308952256 367831808 502047416 597726688 617904512 671005681 1004094832 1195453376 1235809024 1342011362 2008189664 2390906752 2684022724 4016379328 4781813504 5368045448 8032758656 8723073853 10736090896 16065517312 17446147706 21472181792 34892295412 42944363584 69784590824 85888727168 139569181648 171777454336 279138363296 558276726592 1116553453184 2233106906368