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2232242012 = 2271113797057
BaseRepresentation
bin1000010100001101…
…0100111101011100
312202120100122101002
42011003110331130
514032423221022
61005300405432
7106213513130
oct20503247534
95676318332
102232242012
11a46051510
125236a6878
1329760cc80
141726713c0
15d0e8a092
hex850d4f5c

2232242012 has 96 divisors (see below), whose sum is σ = 5312133120. Its totient is φ = 792529920.

The previous prime is 2232242011. The next prime is 2232242029. The reversal of 2232242012 is 2102422322.

It is a super-3 number, since 3×22322420123 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232242011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312788 + ... + 319844.

It is an arithmetic number, because the mean of its divisors is an integer number (55334720).

Almost surely, 22232242012 is an apocalyptic number.

2232242012 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 2232242012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656066560).

2232242012 is an abundant number, since it is smaller than the sum of its proper divisors (3079891108).

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

2232242012 is a wasteful number, since it uses less digits than its factorization.

2232242012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7171 (or 7169 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2232242012 is about 47246.6084708733. The cubic root of 2232242012 is about 1306.9142475068.

Adding to 2232242012 its reverse (2102422322), we get a palindrome (4334664334).

The spelling of 2232242012 in words is "two billion, two hundred thirty-two million, two hundred forty-two thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 79 91 143 154 158 182 286 308 316 364 553 572 869 1001 1027 1106 1738 2002 2054 2212 3476 4004 4108 6083 7057 7189 11297 12166 14114 14378 22594 24332 28228 28756 45188 49399 77627 79079 91741 98798 155254 158158 183482 197596 310508 316316 366964 543389 557503 642187 1009151 1086778 1115006 1284374 2018302 2173556 2230012 2568748 3902521 4036604 6132533 7064057 7247539 7805042 12265066 14128114 14495078 15610084 24530132 28256228 28990156 42927731 50732773 79722929 85855462 101465546 159445858 171710924 202931092 318891716 558060503 1116121006 2232242012