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2199892266 = 23211132292267
BaseRepresentation
bin1000001100011111…
…1011000100101010
312200022111002212100
42003013323010222
514001133023031
61002143154230
7105341530035
oct20307730452
95608432770
102199892266
11a29866690
125148a5976
132909c4600
1416c25001c
15cd1e9de6
hex831fb12a

2199892266 has 144 divisors (see below), whose sum is σ = 5827217760. Its totient is φ = 593873280.

The previous prime is 2199892241. The next prime is 2199892291. The reversal of 2199892266 is 6622989912.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2199892241) and next prime (2199892291).

It is a super-2 number, since 2×21998922662 = 9679051964013229512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 969265 + ... + 971531.

It is an arithmetic number, because the mean of its divisors is an integer number (40466790).

Almost surely, 22199892266 is an apocalyptic number.

2199892266 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 2199892266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913608880).

2199892266 is an abundant number, since it is smaller than the sum of its proper divisors (3627325494).

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

2199892266 is a wasteful number, since it uses less digits than its factorization.

2199892266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341 (or 2325 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 2199892266 is about 46903.0091358753. The cubic root of 2199892266 is about 1300.5702165171.

The spelling of 2199892266 in words is "two billion, one hundred ninety-nine million, eight hundred ninety-two thousand, two hundred sixty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 29 33 39 58 66 78 87 99 117 143 169 174 198 234 261 286 319 338 377 429 507 522 638 754 858 957 1014 1131 1287 1521 1859 1914 2262 2267 2574 2871 3042 3393 3718 4147 4534 4901 5577 5742 6786 6801 8294 9802 11154 12441 13602 14703 16731 20403 24882 24937 29406 29471 33462 37323 40806 44109 49874 53911 58942 65743 74646 74811 88218 88413 107822 131486 149622 161733 176826 197229 224433 265239 323466 324181 383123 394458 448866 485199 530478 591687 648362 723173 766246 854659 970398 972543 1149369 1183374 1446346 1709318 1945086 2169519 2298738 2563977 2917629 3448107 4214353 4339038 5127954 5835258 6508557 6896214 7691931 8428706 9401249 11110567 12643059 13017114 15383862 18802498 22221134 25286118 28203747 33331701 37929177 56407494 66663402 75858354 84611241 99995103 122216237 169222482 199990206 244432474 366648711 733297422 1099946133 2199892266