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2243214612 = 2232295371571
BaseRepresentation
bin1000010110110100…
…1011110100010100
312210100000002221200
42011231023310110
514043230331422
61010331512500
7106406003202
oct20555136424
95710002850
102243214612
11a51266381
125272b8730
13299982432
14173cca072
15d1e062ac
hex85b4bd14

2243214612 has 144 divisors (see below), whose sum is σ = 6071345280. Its totient is φ = 697132800.

The previous prime is 2243214607. The next prime is 2243214629. The reversal of 2243214612 is 2164123422.

2243214612 is a `hidden beast` number, since 2 + 2 + 4 + 32 + 14 + 612 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3928287 + ... + 3928857.

It is an arithmetic number, because the mean of its divisors is an integer number (42162120).

Almost surely, 22243214612 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 2243214612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035672640).

2243214612 is an abundant number, since it is smaller than the sum of its proper divisors (3828130668).

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

2243214612 is a wasteful number, since it uses less digits than its factorization.

2243214612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 729 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2243214612 is about 47362.5866269992. The cubic root of 2243214612 is about 1309.0521302012.

The spelling of 2243214612 in words is "two billion, two hundred forty-three million, two hundred fourteen thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 53 58 71 87 106 116 142 159 174 212 213 261 284 318 348 426 477 522 571 636 639 852 954 1044 1142 1278 1537 1713 1908 2059 2284 2556 3074 3426 3763 4118 4611 5139 6148 6177 6852 7526 8236 9222 10278 11289 12354 13833 15052 16559 18444 18531 20556 22578 24708 27666 30263 33118 33867 37062 40541 45156 49677 55332 60526 66236 67734 74124 81082 90789 99354 109127 121052 121623 135468 149031 162164 181578 198708 218254 243246 272367 298062 327381 363156 364869 436508 486492 544734 596124 654762 729738 877627 982143 1089468 1175689 1309524 1459476 1755254 1964286 2148673 2351378 2632881 3510508 3527067 3928572 4297346 4702756 5265762 6446019 7054134 7898643 8594692 10531524 10581201 12892038 14108268 15797286 19338057 21162402 25784076 31594572 38676114 42324804 62311517 77352228 124623034 186934551 249246068 373869102 560803653 747738204 1121607306 2243214612