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22212100244040 = 23357103256727927
BaseRepresentation
bin1010000110011101010000…
…10110000100001001001000
32220122110022110100010102220
411003032220112010021020
510402410340130302130
6115124033055254040
74451525356610250
oct503165026041110
986573273303386
1022212100244040
11709410a579503
1225a8a2b51a320
13c517909c9695
1456b0ddc62960
15287bc375a410
hex1433a8584248

22212100244040 has 128 divisors (see below), whose sum is σ = 76895148994560. Its totient is φ = 5027759702784.

The previous prime is 22212100244029. The next prime is 22212100244069. The reversal of 22212100244040 is 4044200121222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22212100244040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128277444 + ... + 128450483.

It is an arithmetic number, because the mean of its divisors is an integer number (600743351520).

Almost surely, 222212100244040 is an apocalyptic number.

22212100244040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22212100244040 is an abundant number, since it is smaller than the sum of its proper divisors (54683048750520).

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

22212100244040 is a wasteful number, since it uses less digits than its factorization.

22212100244040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256728051 (or 256728047 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 22212100244040 its reverse (4044200121222), we get a palindrome (26256300365262).

The spelling of 22212100244040 in words is "twenty-two trillion, two hundred twelve billion, one hundred million, two hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 103 105 120 140 168 206 210 280 309 412 420 515 618 721 824 840 1030 1236 1442 1545 2060 2163 2472 2884 3090 3605 4120 4326 5768 6180 7210 8652 10815 12360 14420 17304 21630 28840 43260 86520 256727927 513455854 770183781 1026911708 1283639635 1540367562 1797095489 2053823416 2567279270 3080735124 3594190978 3850918905 5134558540 5391286467 6161470248 7188381956 7701837810 8985477445 10269117080 10782572934 14376763912 15403675620 17970954890 21565145868 26442976481 26956432335 30807351240 35941909780 43130291736 52885952962 53912864670 71883819560 79328929443 105771905924 107825729340 132214882405 158657858886 185100835367 211543811848 215651458680 264429764810 317315717772 370201670734 396644647215 528859529620 555302506101 634631435544 740403341468 793289294430 925504176835 1057719059240 1110605012202 1480806682936 1586578588860 1851008353670 2221210024404 2776512530505 3173157177720 3702016707340 4442420048808 5553025061010 7404033414680 11106050122020 22212100244040