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22430321340 = 22357243177427
BaseRepresentation
bin10100111000111100…
…111000101010111100
32010220012121101101020
4110320330320222330
5331414130240330
614145423344140
71422562404600
oct247074705274
963805541336
1022430321340
119570371459
12441ba52050
13216604b8bb
14112ad99500
158b42d1210
hex538f38abc

22430321340 has 144 divisors (see below), whose sum is σ = 74758223232. Its totient is φ = 5007671424.

The previous prime is 22430321321. The next prime is 22430321357. The reversal of 22430321340 is 4312303422.

It is a self number, because there is not a number n which added to its sum of digits gives 22430321340.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 37707 + ... + 215133.

It is an arithmetic number, because the mean of its divisors is an integer number (519154328).

Almost surely, 222430321340 is an apocalyptic number.

22430321340 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 22430321340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37379111616).

22430321340 is an abundant number, since it is smaller than the sum of its proper divisors (52327901892).

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

22430321340 is a wasteful number, since it uses less digits than its factorization.

22430321340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177496 (or 177487 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 22430321340 its reverse (4312303422), we get a palindrome (26742624762).

The spelling of 22430321340 in words is "twenty-two billion, four hundred thirty million, three hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 49 60 70 84 86 98 105 129 140 147 172 196 210 215 245 258 294 301 420 430 490 516 588 602 645 735 860 903 980 1204 1290 1470 1505 1806 2107 2580 2940 3010 3612 4214 4515 6020 6321 8428 9030 10535 12642 18060 21070 25284 31605 42140 63210 126420 177427 354854 532281 709708 887135 1064562 1241989 1774270 2129124 2483978 2661405 3548540 3725967 4967956 5322810 6209945 7451934 7629361 8693923 10645620 12419890 14903868 15258722 17387846 18629835 22888083 24839780 26081769 30517444 34775692 37259670 38146805 43469615 45776166 52163538 53405527 74519340 76293610 86939230 91552332 104327076 106811054 114440415 130408845 152587220 160216581 173878460 213622108 228880830 260817690 267027635 320433162 373838689 457761660 521635380 534055270 640866324 747677378 801082905 1068110540 1121516067 1495354756 1602165810 1869193445 2243032134 3204331620 3738386890 4486064268 5607580335 7476773780 11215160670 22430321340