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22303344043400 = 23527215714495869
BaseRepresentation
bin1010001001000111001101…
…11001100010010110001000
32220222011211101122101112012
411010203212321202112020
510410404222033342100
6115234003110435052
74461235441243100
oct504434671422610
986864741571465
1022303344043400
1171198822a1452
122602654962a88
13c5a27240a0c4
145716b8012200
1528a263dc5135
hex1448e6e62588

22303344043400 has 144 divisors (see below), whose sum is σ = 60705659427300. Its totient is φ = 7598154170880.

The previous prime is 22303344043399. The next prime is 22303344043403. The reversal of 22303344043400 is 434044330322.

It can be written as a sum of positive squares in 6 ways, for example, as 12235402351396 + 10067941692004 = 3497914^2 + 3173002^2 .

It is a super-2 number, since 2×223033440434002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22303344043403) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 5709335 + ... + 8786534.

Almost surely, 222303344043400 is an apocalyptic number.

22303344043400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22303344043400 is an abundant number, since it is smaller than the sum of its proper divisors (38402315383900).

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

22303344043400 is a wasteful number, since it uses less digits than its factorization.

22303344043400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14496056 (or 14496040 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 22303344043400 its reverse (434044330322), we get a palindrome (22737388373722).

The spelling of 22303344043400 in words is "twenty-two trillion, three hundred three billion, three hundred forty-four million, forty-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 157 175 196 200 245 280 314 350 392 490 628 700 785 980 1099 1225 1256 1400 1570 1960 2198 2450 3140 3925 4396 4900 5495 6280 7693 7850 8792 9800 10990 15386 15700 21980 27475 30772 31400 38465 43960 54950 61544 76930 109900 153860 192325 219800 307720 384650 769300 1538600 14495869 28991738 57983476 72479345 101471083 115966952 144958690 202942166 289917380 362396725 405884332 507355415 579834760 710297581 724793450 811768664 1014710830 1420595162 1449586900 2029421660 2275851433 2536777075 2841190324 2899173800 3551487905 4058843320 4551702866 5073554150 5682380648 7102975810 9103405732 10147108300 11379257165 14205951620 15930960031 17757439525 18206811464 20294216600 22758514330 28411903240 31861920062 35514879050 45517028660 56896285825 63723840124 71029758100 79654800155 91034057320 111516720217 113792571650 127447680248 142059516200 159309600310 223033440434 227585143300 318619200620 398274000775 446066880868 455170286600 557583601085 637238401240 796548001550 892133761736 1115167202170 1593096003100 2230334404340 2787918005425 3186192006200 4460668808680 5575836010850 11151672021700 22303344043400