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22020402144 = 2531317644553
BaseRepresentation
bin10100100000100001…
…001010101111100000
32002211122021022221210
4110200201022233200
5330044210332034
614041021350120
71406454221106
oct244041125740
962748238853
1022020402144
11937aa41064
124326708340
1320cc146470
1410cc771c76
1588d30d8e9
hex52084abe0

22020402144 has 48 divisors (see below), whose sum is σ = 62249986512. Its totient is φ = 6775507968.

The previous prime is 22020402133. The next prime is 22020402149. The reversal of 22020402144 is 44120402022.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×220204021442 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22020402144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22020402149) 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 7 ways as a sum of consecutive naturals, for example, 8821029 + ... + 8823524.

It is an arithmetic number, because the mean of its divisors is an integer number (1296874719).

Almost surely, 222020402144 is an apocalyptic number.

22020402144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22020402144 is an abundant number, since it is smaller than the sum of its proper divisors (40229584368).

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

22020402144 is a wasteful number, since it uses less digits than its factorization.

22020402144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17644579 (or 17644571 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 22020402144 its reverse (44120402022), we get a palindrome (66140804166).

The spelling of 22020402144 in words is "twenty-two billion, twenty million, four hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 17644553 35289106 52933659 70578212 105867318 141156424 211734636 229379189 282312848 423469272 458758378 564625696 688137567 846938544 917516756 1376275134 1693877088 1835033512 2752550268 3670067024 5505100536 7340134048 11010201072 22020402144