Search a number
-
+
22203204121400 = 23521910395623627
BaseRepresentation
bin1010000110001100101100…
…00110000011001100111000
32220121121100110201021101012
411003012112012003030320
510402234130223341100
6115120002224413052
74451062045040531
oct503062606031470
986547313637335
1022203204121400
117090364987935
1225a7168177188
13c509a39199a3
1456a8d856b688
1528785274c135
hex143196183338

22203204121400 has 96 divisors (see below), whose sum is σ = 54391730016000. Its totient is φ = 8405746254720.

The previous prime is 22203204121387. The next prime is 22203204121429. The reversal of 22203204121400 is 412140230222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1136387 + ... + 6760013.

It is an arithmetic number, because the mean of its divisors is an integer number (566580521000).

Almost surely, 222203204121400 is an apocalyptic number.

22203204121400 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 22203204121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27195865008000).

22203204121400 is an abundant number, since it is smaller than the sum of its proper divisors (32188525894600).

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

22203204121400 is a wasteful number, since it uses less digits than its factorization.

22203204121400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5624701 (or 5624692 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 22203204121400 its reverse (412140230222), we get a palindrome (22615344351622).

The spelling of 22203204121400 in words is "twenty-two trillion, two hundred three billion, two hundred four million, one hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1039 1900 2078 3800 4156 5195 8312 10390 19741 20780 25975 39482 41560 51950 78964 98705 103900 157928 197410 207800 394820 493525 789640 987050 1974100 3948200 5623627 11247254 22494508 28118135 44989016 56236270 106848913 112472540 140590675 213697826 224945080 281181350 427395652 534244565 562362700 854791304 1068489130 1124725400 2136978260 2671222825 4273956520 5342445650 5842948453 10684891300 11685896906 21369782600 23371793812 29214742265 46743587624 58429484530 111016020607 116858969060 146073711325 222032041214 233717938120 292147422650 444064082428 555080103035 584294845300 888128164856 1110160206070 1168589690600 2220320412140 2775400515175 4440640824280 5550801030350 11101602060700 22203204121400