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2442224202200 = 235213818842231
BaseRepresentation
bin100011100010011111111…
…001111111000111011000
322122110210210200221021122
4203202133321333013120
5310003133343432300
65105535312224412
7341305410126266
oct43423771770730
98573723627248
102442224202200
11861817991262
1233539bb3b108
131493ba9ab633
14862c079b436
15437db7aac85
hex2389fe7f1d8

2442224202200 has 48 divisors (see below), whose sum is σ = 5682283550160. Its totient is φ = 976182192000.

The previous prime is 2442224202199. The next prime is 2442224202211. The reversal of 2442224202200 is 22024222442.

It is a super-2 number, since 2×24422242022002 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2442224202200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4144916 + ... + 4697315.

It is an arithmetic number, because the mean of its divisors is an integer number (118380907295).

Almost surely, 22442224202200 is an apocalyptic number.

2442224202200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442224202200 is an abundant number, since it is smaller than the sum of its proper divisors (3240059347960).

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

2442224202200 is a wasteful number, since it uses less digits than its factorization.

2442224202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8843628 (or 8843619 counting only the distinct ones).

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

Adding to 2442224202200 its reverse (22024222442), we get a palindrome (2464248424642).

The spelling of 2442224202200 in words is "two trillion, four hundred forty-two billion, two hundred twenty-four million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1381 2762 5524 6905 11048 13810 27620 34525 55240 69050 138100 276200 8842231 17684462 35368924 44211155 70737848 88422310 176844620 221055775 353689240 442111550 884223100 1768446200 12211121011 24422242022 48844484044 61055605055 97688968088 122111210110 244222420220 305278025275 488444840440 610556050550 1221112101100 2442224202200