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2270842332 = 22311229199271
BaseRepresentation
bin1000011101011010…
…0100110111011100
312212020222202001120
42013112210313130
514122313423312
61013200010540
7110162561403
oct20726446734
95766882046
102270842332
11a65916500
12534600a50
132a26066b5
1417783c63a
15d456228c
hex875a4ddc

2270842332 has 144 divisors (see below), whose sum is σ = 6077568000. Its totient is φ = 658627200.

The previous prime is 2270842331. The next prime is 2270842351. The reversal of 2270842332 is 2332480722.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2270842293 and 2270842302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2270842331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8379357 + ... + 8379627.

Almost surely, 22270842332 is an apocalyptic number.

2270842332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2270842332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038784000).

2270842332 is an abundant number, since it is smaller than the sum of its proper divisors (3806725668).

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

2270842332 is a wasteful number, since it uses less digits than its factorization.

2270842332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 2270842332 is about 47653.3559363871. The cubic root of 2270842332 is about 1314.4043685498.

The spelling of 2270842332 in words is "two billion, two hundred seventy million, eight hundred forty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 121 132 174 199 242 271 319 348 363 398 484 542 597 638 726 796 813 957 1084 1194 1276 1452 1626 1914 2189 2388 2981 3252 3509 3828 4378 5771 5962 6567 7018 7859 8756 8943 10527 11542 11924 13134 14036 15718 17313 17886 21054 23084 23577 24079 26268 31436 32791 34626 35772 42108 47154 48158 53929 63481 65582 69252 72237 86449 94308 96316 98373 107858 126962 131164 144474 161787 172898 190443 196746 215716 253924 259347 288948 323574 345796 380886 393492 518694 593219 647148 698291 761772 950939 1037388 1186438 1396582 1563941 1779657 1901878 2094873 2372876 2793164 2852817 3127882 3559314 3803756 4189746 4691823 5705634 6255764 6525409 7118628 8379492 9383646 11411268 13050818 17203351 18767292 19576227 26101636 34406702 39152454 51610053 68813404 78304908 103220106 189236861 206440212 378473722 567710583 756947444 1135421166 2270842332