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22400222200020 = 2233575925984709
BaseRepresentation
bin1010001011111011101010…
…10010011000000011010100
32221022102212222222122202000
411011331311102120003110
510414001123340400040
6115350304153515300
74501235250056310
oct505756522300324
987272788878660
1022400222200020
1171569765063a5
122619391112b30
13c66441214332
145762685d0b40
1528ca33eee130
hex145f754980d4

22400222200020 has 96 divisors (see below), whose sum is σ = 79645234502400. Its totient is φ = 5120050787712.

The previous prime is 22400222200019. The next prime is 22400222200039. The reversal of 22400222200020 is 2000222200422.

It is a happy number.

22400222200020 is a `hidden beast` number, since 2 + 2 + 400 + 22 + 220 + 0 + 0 + 20 = 666.

It is a super-2 number, since 2×224002222000202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22400222199966 and 22400222200002.

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, 2962988575 + ... + 2962996134.

It is an arithmetic number, because the mean of its divisors is an integer number (829637859400).

Almost surely, 222400222200020 is an apocalyptic number.

22400222200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22400222200020 is an abundant number, since it is smaller than the sum of its proper divisors (57245012302380).

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

22400222200020 is a wasteful number, since it uses less digits than its factorization.

22400222200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5925984734 (or 5925984726 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 22400222200020 its reverse (2000222200422), we get a palindrome (24400444400442).

The spelling of 22400222200020 in words is "twenty-two trillion, four hundred billion, two hundred twenty-two million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 5925984709 11851969418 17777954127 23703938836 29629923545 35555908254 41481892963 53333862381 59259847090 71111816508 82963785926 88889770635 106667724762 118519694180 124445678889 160001587143 165927571852 177779541270 207409464815 213335449524 248891357778 266669311905 320003174286 355559082540 373337036667 414818929630 497782715556 533338623810 622228394445 640006348572 746674073334 800007935715 829637859260 1066677247620 1120011110001 1244456788890 1493348146668 1600015871430 1866685183335 2240022220002 2488913577780 3200031742860 3733370366670 4480044440004 5600055550005 7466740733340 11200111100010 22400222200020