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22404104041400 = 23521914737400069
BaseRepresentation
bin1010001100000010111001…
…01010011011001110111000
32221022210220112100122000222
411012001130222123032320
510414032101113311100
6115352145303115212
74501433404141154
oct506013452331670
987283815318028
1022404104041400
117158588726274
12261a095142b08
13c6690c504cb3
14576515d88064
1528cbaebd4485
hex14605ca9b3b8

22404104041400 has 96 divisors (see below), whose sum is σ = 54834954438000. Its totient is φ = 8489378949120.

The previous prime is 22404104041379. The next prime is 22404104041447. The reversal of 22404104041400 is 414040140422.

It is a self number, because there is not a number n which added to its sum of digits gives 22404104041400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55800566 + ... + 56200634.

Almost surely, 222404104041400 is an apocalyptic number.

22404104041400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22404104041400 is an abundant number, since it is smaller than the sum of its proper divisors (32430850396600).

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

22404104041400 is a wasteful number, since it uses less digits than its factorization.

22404104041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414841 (or 414832 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 22404104041400 its reverse (414040140422), we get a palindrome (22818144181822).

The spelling of 22404104041400 in words is "twenty-two trillion, four hundred four billion, one hundred four million, forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 14737 29474 58948 73685 117896 147370 280003 294740 368425 400069 560006 589480 736850 800138 1120012 1400015 1473700 1600276 2000345 2240024 2800030 2947400 3200552 4000690 5600060 7000075 7601311 8001380 10001725 11200120 14000150 15202622 16002760 20003450 28000300 30405244 38006555 40006900 56000600 60810488 76013110 80013800 152026220 190032775 304052440 380065550 760131100 1520262200 5895816853 11791633706 23583267412 29479084265 47166534824 58958168530 112020520207 117916337060 147395421325 224041040414 235832674120 294790842650 448082080828 560102601035 589581685300 896164161656 1120205202070 1179163370600 2240410404140 2800513005175 4480820808280 5601026010350 11202052020700 22404104041400