Search a number
-
+
22040202024200 = 2352473049769007
BaseRepresentation
bin1010000001011101000100…
…11010011001010100001000
32220001000121120111210020002
411000232202122121110020
510342101313204233300
6114513043512022132
74433231516055413
oct500564232312410
986030546453202
1022040202024200
117028219501708
12257b657091948
13c3b4c77130b9
14562a74066b7a
152834b24545d5
hex140ba2699508

22040202024200 has 96 divisors (see below), whose sum is σ = 52350988608000. Its totient is φ = 8625663459840.

The previous prime is 22040202024173. The next prime is 22040202024223. The reversal of 22040202024200 is 242020204022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 28276097 + ... + 29045103.

It is an arithmetic number, because the mean of its divisors is an integer number (545322798000).

Almost surely, 222040202024200 is an apocalyptic number.

22040202024200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22040202024200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26175494304000).

22040202024200 is an abundant number, since it is smaller than the sum of its proper divisors (30310786583800).

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

22040202024200 is a wasteful number, since it uses less digits than its factorization.

22040202024200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772119 (or 772110 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 22040202024200 its reverse (242020204022), we get a palindrome (22282222228222).

The spelling of 22040202024200 in words is "twenty-two trillion, forty billion, two hundred two million, twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 470 940 1175 1880 2350 3049 4700 6098 9400 12196 15245 24392 30490 60980 76225 121960 143303 152450 286606 304900 573212 609800 716515 769007 1146424 1433030 1538014 2866060 3076028 3582575 3845035 5732120 6152056 7165150 7690070 14330300 15380140 19225175 28660600 30760280 36143329 38450350 72286658 76900700 144573316 153801400 180716645 289146632 361433290 722866580 903583225 1445733160 1807166450 2344702343 3614332900 4689404686 7228665800 9378809372 11723511715 18757618744 23447023430 46894046860 58617558575 93788093720 110201010121 117235117150 220402020242 234470234300 440804040484 468940468600 551005050605 881608080968 1102010101210 2204020202420 2755025253025 4408040404840 5510050506050 11020101012100 22040202024200