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22133010323320 = 23513151146436067
BaseRepresentation
bin1010000100001001111100…
…01101111101011101111000
32220100220011112200212111221
411002010332031331131320
510400111401120321240
6115023433052001424
74443025425434101
oct502047615753570
986326145625457
1022133010323320
117063614359466
122595638460274
13c471982a9c20
14567359d093a8
15285ae5109a4a
hex14213e37d778

22133010323320 has 128 divisors (see below), whose sum is σ = 53685885335040. Its totient is φ = 8163675210240.

The previous prime is 22133010323317. The next prime is 22133010323327. The reversal of 22133010323320 is 2332301033122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22133010323327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3648094927 + ... + 3648100993.

It is an arithmetic number, because the mean of its divisors is an integer number (419420979180).

Almost surely, 222133010323320 is an apocalyptic number.

22133010323320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22133010323320 is an abundant number, since it is smaller than the sum of its proper divisors (31552875011720).

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

22133010323320 is a wasteful number, since it uses less digits than its factorization.

22133010323320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12245 (or 12241 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 22133010323320 its reverse (2332301033122), we get a palindrome (24465311356442).

The spelling of 22133010323320 in words is "twenty-two trillion, one hundred thirty-three billion, ten million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1511 3022 4643 6044 6067 7555 9286 12088 12134 15110 18572 19643 23215 24268 30220 30335 37144 39286 46430 48536 60359 60440 60670 78572 78871 92860 98215 120718 121340 157144 157742 185720 196430 241436 242680 301795 315484 392860 394355 482872 603590 630968 785720 788710 1207180 1577420 2414360 3154840 7015573 9167237 14031146 18334474 28062292 28169081 35077865 36668948 45836185 56124584 56338162 70155730 73337896 91202449 91672370 112676324 119174081 140311460 140845405 182404898 183344740 225352648 238348162 280622920 281690810 364809796 366198053 366689480 456012245 476696324 563381620 595870405 729619592 732396106 912024490 953392648 1126763240 1191740810 1464792212 1824048980 1830990265 2383481620 2929584424 3648097960 3661980530 4766963240 7323961060 14647922120 42563481391 85126962782 170253925564 212817406955 340507851128 425634813910 553325258083 851269627820 1106650516166 1702539255640 2213301032332 2766626290415 4426602064664 5533252580830 11066505161660 22133010323320