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42204200224220 = 225231033892289871
BaseRepresentation
bin10011001100010011011100…
…10111001100010111011100
312112102200102021112001012222
421212021232113030113130
521012433200224133340
6225432201504444512
711614103265602336
oct1146115627142734
9175380367461188
1042204200224220
11124a1778846741
124897559319738
131a71aba3a4a78
14a5c9a0c00456
154d2c64c948b5
hex26626e5cc5dc

42204200224220 has 96 divisors (see below), whose sum is σ = 93620225986560. Its totient is φ = 15949805541120.

The previous prime is 42204200224169. The next prime is 42204200224223. The reversal of 42204200224220 is 2242200240224.

It is a self number, because there is not a number n which added to its sum of digits gives 42204200224220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42204200224223) 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, 17285885 + ... + 19575755.

It is an arithmetic number, because the mean of its divisors is an integer number (975210687360).

Almost surely, 242204200224220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42204200224220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46810112993280).

42204200224220 is an abundant number, since it is smaller than the sum of its proper divisors (51416025762340).

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

42204200224220 is a wasteful number, since it uses less digits than its factorization.

42204200224220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290395 (or 2290393 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 42204200224220 its reverse (2242200240224), we get a palindrome (44446400464444).

The spelling of 42204200224220 in words is "forty-two trillion, two hundred four billion, two hundred million, two hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 103 115 206 230 389 412 460 515 778 1030 1556 1945 2060 2369 3890 4738 7780 8947 9476 11845 17894 23690 35788 40067 44735 47380 80134 89470 160268 178940 200335 400670 801340 921541 1843082 2289871 3686164 4579742 4607705 9159484 9215410 11449355 18430820 22898710 45797420 52667033 105334066 210668132 235856713 263335165 471713426 526670330 890759819 943426852 1053340660 1179283565 1781519638 2358567130 3563039276 4453799095 4717134260 5424704399 8907598190 10849408798 17815196380 20487475837 21698817596 27123521995 40974951674 54247043990 81949903348 91748261357 102437379185 108494087980 183496522714 204874758370 366993045428 409749516740 458741306785 917482613570 1834965227140 2110210011211 4220420022422 8440840044844 10551050056055 21102100112110 42204200224220