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2342220012 = 223211173179191
BaseRepresentation
bin1000101110011011…
…0111000011101100
320001020022002211100
42023212313003230
514244102020022
61024225523100
7112020353526
oct21346670354
96036262740
102342220012
11aa2138620
125544a3490
132b4338302
141830dca16
15da9611ac
hex8b9b70ec

2342220012 has 144 divisors (see below), whose sum is σ = 6566676480. Its totient is φ = 698044800.

The previous prime is 2342220011. The next prime is 2342220029. The reversal of 2342220012 is 2100222432.

It is a super-2 number, since 2×23422200122 = 10971989169226560288, which contains 22 as substring.

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 (2342220011) 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, 12262837 + ... + 12263027.

It is an arithmetic number, because the mean of its divisors is an integer number (45601920).

Almost surely, 22342220012 is an apocalyptic number.

2342220012 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 2342220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283338240).

2342220012 is an abundant number, since it is smaller than the sum of its proper divisors (4224456468).

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

2342220012 is a wasteful number, since it uses less digits than its factorization.

2342220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 559 counting only the distinct ones).

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

The square root of 2342220012 is about 48396.4875998248. The cubic root of 2342220012 is about 1328.0341076968.

Adding to 2342220012 its reverse (2100222432), we get a palindrome (4442442444).

It can be divided in two parts, 23422 and 20012, that added together give a palindrome (43434).

The spelling of 2342220012 in words is "two billion, three hundred forty-two million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 173 179 191 198 346 358 382 396 519 537 573 692 716 764 1038 1074 1146 1557 1611 1719 1903 1969 2076 2101 2148 2292 3114 3222 3438 3806 3938 4202 5709 5907 6228 6303 6444 6876 7612 7876 8404 11418 11814 12606 17127 17721 18909 22836 23628 25212 30967 33043 34189 34254 35442 37818 61934 66086 68378 68508 70884 75636 92901 99129 102567 123868 132172 136756 185802 198258 205134 278703 297387 307701 340637 363473 371604 376079 396516 410268 557406 594774 615402 681274 726946 752158 1021911 1090419 1114812 1128237 1189548 1230804 1362548 1453892 1504316 2043822 2180838 2256474 3065733 3271257 3384711 4087644 4361676 4512948 5914697 6131466 6542514 6769422 11829394 12262932 13085028 13538844 17744091 23658788 35488182 53232273 65061667 70976364 106464546 130123334 195185001 212929092 260246668 390370002 585555003 780740004 1171110006 2342220012