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20444122212200 = 2352388926284549
BaseRepresentation
bin1001010011000000001001…
…01001000110011101101000
32200101102212000202111012222
410221200010221012131220
510134424030241242300
6111251522230253212
74210016256364031
oct451400451063550
980342760674188
1020444122212200
116572338014515
12236225b1b7208
13b53b45a15b3b
14509702275a88
15256bea0cc785
hex129804a46768

20444122212200 has 48 divisors (see below), whose sum is σ = 47544808267500. Its totient is φ = 8175545809920.

The previous prime is 20444122212197. The next prime is 20444122212209. The reversal of 20444122212200 is 221222144402.

It can be written as a sum of positive squares in 6 ways, for example, as 12040025575876 + 8404096636324 = 3469874^2 + 2898982^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20444122212200.

It is not an unprimeable number, because it can be changed into a prime (20444122212209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12364475 + ... + 13920074.

Almost surely, 220444122212200 is an apocalyptic number.

20444122212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20444122212200 is an abundant number, since it is smaller than the sum of its proper divisors (27100686055300).

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

20444122212200 is a wasteful number, since it uses less digits than its factorization.

20444122212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26288454 (or 26288445 counting only the distinct ones).

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

Adding to 20444122212200 its reverse (221222144402), we get a palindrome (20665344356602).

The spelling of 20444122212200 in words is "twenty trillion, four hundred forty-four billion, one hundred twenty-two million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 3889 7778 15556 19445 31112 38890 77780 97225 155560 194450 388900 777800 26284549 52569098 105138196 131422745 210276392 262845490 525690980 657113725 1051381960 1314227450 2628454900 5256909800 102220611061 204441222122 408882444244 511103055305 817764888488 1022206110610 2044412221220 2555515276525 4088824442440 5111030553050 10222061106100 20444122212200