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22223404144100 = 22521713072590673
BaseRepresentation
bin1010000110110010010100…
…00111000001010111100100
32220200112111020121202012002
411003121022013001113210
510403102012430102400
6115133142501144432
74452405446305145
oct503311207012744
986615436552162
1022223404144100
117098990304975
1225ab0650bb118
13c52872889043
1456b89323dacc
15288135d28ed5
hex14364a1c15e4

22223404144100 has 36 divisors (see below), whose sum is σ = 51061539172644. Its totient is φ = 8366458030080.

The previous prime is 22223404144063. The next prime is 22223404144111. The reversal of 22223404144100 is 144140432222.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 894450628516 + 21328953515584 = 945754^2 + 4618328^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6536293637 + ... + 6536297036.

It is an arithmetic number, because the mean of its divisors is an integer number (1418376088129).

Almost surely, 222223404144100 is an apocalyptic number.

22223404144100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22223404144100 is an abundant number, since it is smaller than the sum of its proper divisors (28838135028544).

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

22223404144100 is a wasteful number, since it uses less digits than its factorization.

22223404144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13072590704 (or 13072590697 counting only the distinct ones).

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

Adding to 22223404144100 its reverse (144140432222), we get a palindrome (22367544576322).

The spelling of 22223404144100 in words is "twenty-two trillion, two hundred twenty-three billion, four hundred four million, one hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 13072590673 26145181346 52290362692 65362953365 130725906730 222234041441 261451813460 326814766825 444468082882 653629533650 888936165764 1111170207205 1307259067300 2222340414410 4444680828820 5555851036025 11111702072050 22223404144100