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2183000226 = 2311172193593
BaseRepresentation
bin1000001000011101…
…1111000010100010
312122010200220100020
42002013133002202
513432322001401
61000341134310
7105045124101
oct20207370242
95563626306
102183000226
11a20279420
1250b0ba396
1328a35ba14
14169cd4038
15cb9aed36
hex821df0a2

2183000226 has 96 divisors (see below), whose sum is σ = 5094353088. Its totient is φ = 618332160.

The previous prime is 2183000213. The next prime is 2183000233. The reversal of 2183000226 is 6220003812.

It is a junction number, because it is equal to n+sod(n) for n = 2183000196 and 2183000205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3680986 + ... + 3681578.

It is an arithmetic number, because the mean of its divisors is an integer number (53066178).

Almost surely, 22183000226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2183000226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547176544).

2183000226 is an abundant number, since it is smaller than the sum of its proper divisors (2911352862).

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

2183000226 is a wasteful number, since it uses less digits than its factorization.

2183000226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2183000226 is about 46722.5879634251. The cubic root of 2183000226 is about 1297.2328173015.

The spelling of 2183000226 in words is "two billion, one hundred eighty-three million, two hundred twenty-six", and thus it is an aban number.

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 193 289 374 386 561 578 579 593 867 1122 1158 1186 1734 1779 2123 3179 3281 3558 4246 6358 6369 6523 6562 9537 9843 10081 12738 13046 19074 19569 19686 20162 30243 36091 39138 55777 60486 72182 108273 110891 111554 114449 167331 171377 216546 221782 228898 332673 334662 342754 343347 514131 613547 665346 686694 1028262 1227094 1258939 1840641 1885147 1945633 2517878 3681282 3770294 3776817 3891266 5655441 5836899 7553634 11310882 11673798 21401963 33075761 42803926 64205889 66151522 99227283 128411778 198454566 363833371 727666742 1091500113 2183000226