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22424044200200 = 2352112120221001
BaseRepresentation
bin1010001100101000000010…
…01100000110000100001000
32221101201101012021122120222
411012110001030012010020
510414343420303401300
6115405244054005212
74503040501532006
oct506240114060410
987351335248528
1022424044200200
117165a903a2755
122621b1b046808
13c6876968a026
14577488333a76
1528d47a57e785
hex146501306108

22424044200200 has 24 divisors (see below), whose sum is σ = 52135902765930. Its totient is φ = 8969617680000.

The previous prime is 22424044200127. The next prime is 22424044200211. The reversal of 22424044200200 is 200244042422.

It can be written as a sum of positive squares in 3 ways, for example, as 12049937575204 + 10374106624996 = 3471302^2 + 3220886^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22424044200200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56060110301 + ... + 56060110700.

Almost surely, 222424044200200 is an apocalyptic number.

22424044200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22424044200200 is an abundant number, since it is smaller than the sum of its proper divisors (29711858565730).

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

22424044200200 is a wasteful number, since it uses less digits than its factorization.

22424044200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112120221017 (or 112120221008 counting only the distinct ones).

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

Adding to 22424044200200 its reverse (200244042422), we get a palindrome (22624288242622).

The spelling of 22424044200200 in words is "twenty-two trillion, four hundred twenty-four billion, forty-four million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 112120221001 224240442002 448480884004 560601105005 896961768008 1121202210010 2242404420020 2803005525025 4484808840040 5606011050050 11212022100100 22424044200200