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2222232012 = 22327111361667
BaseRepresentation
bin1000010001110100…
…1001000111001100
312201212112002020100
42010131021013030
514022342411022
61004302051100
7106032442350
oct20435110714
95655462210
102222232012
11a40434890
12520279a90
132955169b0
141711c7460
15d015e1ac
hex847491cc

2222232012 has 144 divisors (see below), whose sum is σ = 7542243072. Its totient is φ = 532794240.

The previous prime is 2222231987. The next prime is 2222232017. The reversal of 2222232012 is 2102322222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2222232017) by changing a digit.

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, 5203 + ... + 66869.

It is an arithmetic number, because the mean of its divisors is an integer number (52376688).

Almost surely, 22222232012 is an apocalyptic number.

2222232012 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 2222232012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3771121536).

2222232012 is an abundant number, since it is smaller than the sum of its proper divisors (5320011060).

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

2222232012 is a wasteful number, since it uses less digits than its factorization.

2222232012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61708 (or 61703 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2222232012 is about 47140.5559152626. Note that the first 3 decimals coincide. The cubic root of 2222232012 is about 1304.9577966710.

Adding to 2222232012 its reverse (2102322222), we get a palindrome (4324554234).

The spelling of 2222232012 in words is "two billion, two hundred twenty-two million, two hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 33 36 39 42 44 52 63 66 77 78 84 91 99 117 126 132 143 154 156 182 198 231 234 252 273 286 308 364 396 429 462 468 546 572 693 819 858 924 1001 1092 1287 1386 1638 1716 2002 2574 2772 3003 3276 4004 5148 6006 9009 12012 18018 36036 61667 123334 185001 246668 370002 431669 555003 678337 740004 801671 863338 1110006 1295007 1356674 1603342 1726676 2035011 2220012 2405013 2590014 2713348 3206684 3885021 4070022 4748359 4810026 5180028 5611697 6105033 7215039 7770042 8140044 8818381 9496718 9620052 11223394 12210066 14245077 14430078 15540084 16835091 17636762 18993436 22446788 24420132 26455143 28490154 28860156 33670182 35273524 42735231 50505273 52910286 56980308 61728667 67340364 79365429 85470462 101010546 105820572 123457334 158730858 170940924 185186001 202021092 246914668 317461716 370372002 555558003 740744004 1111116006 2222232012