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2224661016 = 2332333711959
BaseRepresentation
bin1000010010011001…
…1010001000011000
312202001002111012110
42010212122020120
514024003123031
61004430112320
7106062210114
oct20446321030
95661074173
102224661016
11a41843826
1252104b6a0
13295b87486
1417165a744
15d048dc46
hex8499a218

2224661016 has 64 divisors (see below), whose sum is σ = 5821171200. Its totient is φ = 707148288.

The previous prime is 2224661009. The next prime is 2224661017. The reversal of 2224661016 is 6101664222.

It is a super-2 number, since 2×22246610162 = 9898233272220304512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224661017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180045 + ... + 192003.

It is an arithmetic number, because the mean of its divisors is an integer number (90955800).

Almost surely, 22224661016 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 2224661016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910585600).

2224661016 is an abundant number, since it is smaller than the sum of its proper divisors (3596510184).

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

2224661016 is a wasteful number, since it uses less digits than its factorization.

2224661016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12328 (or 12324 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2224661016 is about 47166.3123002000. The cubic root of 2224661016 is about 1305.4330836043.

The spelling of 2224661016 in words is "two billion, two hundred twenty-four million, six hundred sixty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 337 552 674 1011 1348 2022 2696 4044 7751 8088 11959 15502 23253 23918 31004 35877 46506 47836 62008 71754 93012 95672 143508 186024 275057 287016 550114 825171 1100228 1650342 2200456 3300684 4030183 6601368 8060366 12090549 16120732 24181098 32241464 48362196 92694209 96724392 185388418 278082627 370776836 556165254 741553672 1112330508 2224661016