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22011420400420 = 22511134293745027
BaseRepresentation
bin1010000000100111011101…
…11001001101101100100100
32212221021022201210210211011
411000103232321031230210
510341113342110303140
6114451523521552004
74431162342232003
oct500235671155444
985837281723734
1022011420400420
117016a99a85780
122575b641a5604
13c3888b8a7799
14561503772c3a
1528287a795cea
hex1404eee4db24

22011420400420 has 48 divisors (see below), whose sum is σ = 50426606276928. Its totient is φ = 8004082527360.

The previous prime is 22011420400381. The next prime is 22011420400427. The reversal of 22011420400420 is 2400402411022.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 22011420400391 and 22011420400400.

It is not an unprimeable number, because it can be changed into a prime (22011420400427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29171947 + ... + 29916973.

It is an arithmetic number, because the mean of its divisors is an integer number (1050554297436).

Almost surely, 222011420400420 is an apocalyptic number.

22011420400420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22011420400420 is an abundant number, since it is smaller than the sum of its proper divisors (28415185876508).

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

22011420400420 is a wasteful number, since it uses less digits than its factorization.

22011420400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879340 (or 879338 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 22011420400420 its reverse (2400402411022), we get a palindrome (24411822811442).

The spelling of 22011420400420 in words is "twenty-two trillion, eleven billion, four hundred twenty million, four hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 134293 268586 537172 671465 745027 1342930 1477223 1490054 2685860 2954446 2980108 3725135 5908892 7386115 7450270 8195297 14772230 14900540 16390594 29544460 32781188 40976485 81952970 163905940 100051910911 200103821822 400207643644 500259554555 1000519109110 1100571020021 2001038218220 2201142040042 4402284080084 5502855100105 11005710200210 22011420400420