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22321214040404 = 22172941733781849
BaseRepresentation
bin1010001001101000100000…
…00010001010100101010100
32221000212221210012021222002
411010310100002022211110
510411202321243243104
6115250120230454432
74462440330562526
oct504642002124524
987025853167862
1022321214040404
11712641245a714
122606001504418
13c5bb5c720726
145724d147ba16
1528a95cb4e01e
hex144d1008a954

22321214040404 has 96 divisors (see below), whose sum is σ = 44430081444000. Its totient is φ = 9758983127040.

The previous prime is 22321214040371. The next prime is 22321214040413. The reversal of 22321214040404 is 40404041212322.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 12048535210000 + 10272678830404 = 3471100^2 + 3205102^2 .

It is a super-3 number, since 3×223212140404043 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

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, 4011272 + ... + 7793120.

It is an arithmetic number, because the mean of its divisors is an integer number (462813348375).

Almost surely, 222321214040404 is an apocalyptic number.

It is an amenable number.

22321214040404 is a deficient number, since it is larger than the sum of its proper divisors (22108867403596).

22321214040404 is a wasteful number, since it uses less digits than its factorization.

22321214040404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3782013 (or 3782011 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 22321214040404 its reverse (40404041212322), we get a palindrome (62725255252726).

The spelling of 22321214040404 in words is "twenty-two trillion, three hundred twenty-one billion, two hundred fourteen million, forty thousand, four hundred four".

Divisors: 1 2 4 17 29 34 41 58 68 73 82 116 146 164 292 493 697 986 1189 1241 1394 1972 2117 2378 2482 2788 2993 4234 4756 4964 5986 8468 11972 20213 35989 40426 50881 71978 80852 86797 101762 143956 173594 203524 347188 1475549 2951098 3781849 5902196 7563698 15127396 64291433 109673621 128582866 155055809 219347242 257165732 276074977 310111618 438694484 552149954 620223236 1104299908 1864451557 2635948753 3728903114 4496618461 4693274609 5271897506 7457806228 8006174333 8993236922 9386549218 10543795012 11319074057 16012348666 17986473844 18773098436 22638148114 32024697332 45276296228 76442513837 136104963661 152885027674 192424258969 272209927322 305770055348 328253147653 384848517938 544419854644 656506295306 769697035876 1313012590612 5580303510101 11160607020202 22321214040404