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22221100200120 = 23351947207363757
BaseRepresentation
bin1010000110101110000001…
…10010001011000010111000
32220200022112200100021012120
411003113000302023002320
510403032303122400440
6115132122115441240
74452264402146253
oct503270062130270
986608480307176
1022221100200120
117097a0883a738
1225aa7215b6220
13c52596462993
1456b71526609a
1528804d928dd0
hex1435c0c8b0b8

22221100200120 has 128 divisors (see below), whose sum is σ = 71664914764800. Its totient is φ = 5494310078976.

The previous prime is 22221100200053. The next prime is 22221100200121. The reversal of 22221100200120 is 2100200112222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22221100200120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22221100200121) 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, 103574719 + ... + 103789038.

It is an arithmetic number, because the mean of its divisors is an integer number (559882146600).

Almost surely, 222221100200120 is an apocalyptic number.

22221100200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22221100200120 is an abundant number, since it is smaller than the sum of its proper divisors (49443814564680).

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

22221100200120 is a wasteful number, since it uses less digits than its factorization.

22221100200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207363837 (or 207363833 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22221100200120 its reverse (2100200112222), we get a palindrome (24321300312342).

The spelling of 22221100200120 in words is "twenty-two trillion, two hundred twenty-one billion, one hundred million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 47 57 60 76 94 95 114 120 141 152 188 190 228 235 282 285 376 380 456 470 564 570 705 760 893 940 1128 1140 1410 1786 1880 2280 2679 2820 3572 4465 5358 5640 7144 8930 10716 13395 17860 21432 26790 35720 53580 107160 207363757 414727514 622091271 829455028 1036818785 1244182542 1658910056 2073637570 2488365084 3110456355 3939911383 4147275140 4976730168 6220912710 7879822766 8294550280 9746096579 11819734149 12441825420 15759645532 19492193158 19699556915 23639468298 24883650840 29238289737 31519291064 38984386316 39399113830 47278936596 48730482895 58476579474 59098670745 77968772632 78798227660 94557873192 97460965790 116953158948 118197341490 146191448685 157596455320 185175835001 194921931580 233906317896 236394682980 292382897370 370351670002 389843863160 472789365960 555527505003 584765794740 740703340004 925879175005 1111055010006 1169531589480 1481406680008 1851758350010 2222110020012 2777637525015 3703516700020 4444220040024 5555275050030 7407033400040 11110550100060 22221100200120