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22124132140 = 225111136831303
BaseRepresentation
bin10100100110101100…
…110111011100101100
32010002212110100202111
4110212230313130230
5330302234212030
614055204533404
71412154006655
oct244654673454
963085410674
1022124132140
11942354aa30
1243553b1264
132117794966
1410dc45452c
1589749d62a
hex526b3772c

22124132140 has 96 divisors (see below), whose sum is σ = 51247074816. Its totient is φ = 7956157440.

The previous prime is 22124132089. The next prime is 22124132153. The reversal of 22124132140 is 4123142122.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16978729 + ... + 16980031.

It is an arithmetic number, because the mean of its divisors is an integer number (533823696).

Almost surely, 222124132140 is an apocalyptic number.

22124132140 is a gapful number since it is divisible by the number (20) 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 22124132140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25623537408).

22124132140 is an abundant number, since it is smaller than the sum of its proper divisors (29122942676).

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

22124132140 is a wasteful number, since it uses less digits than its factorization.

22124132140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 22124132140 its reverse (4123142122), we get a palindrome (26247274262).

The spelling of 22124132140 in words is "twenty-two billion, one hundred twenty-four million, one hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 113 220 226 452 565 683 1130 1243 1303 1366 2260 2486 2606 2732 3415 4972 5212 6215 6515 6830 7513 12430 13030 13660 14333 15026 24860 26060 28666 30052 37565 57332 71665 75130 77179 143330 147239 150260 154358 286660 294478 308716 385895 588956 736195 771790 848969 889949 1472390 1543580 1619629 1697938 1779898 2944780 3239258 3395876 3559796 4244845 4449745 6478516 8098145 8489690 8899490 9789439 16196290 16979380 17798980 19578878 32392580 39157756 48947195 97894390 100564237 195788780 201128474 402256948 502821185 1005642370 1106206607 2011284740 2212413214 4424826428 5531033035 11062066070 22124132140