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22032300421300 = 225213591270322613
BaseRepresentation
bin1010000001001110010110…
…11100001011000010110100
32220000021012220020202202211
411000213023130023002310
510341434122401440200
6114505255445143204
74432531641413311
oct500471334130264
986007186222684
1022032300421300
117024934230484
12257a0109bab04
13c3a8386a2020
14562524893d08
1528319d8e3aba
hex1409cb70b0b4

22032300421300 has 144 divisors (see below), whose sum is σ = 52366903303680. Its totient is φ = 7996138652160.

The previous prime is 22032300421291. The next prime is 22032300421319. The reversal of 22032300421300 is 312400323022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 974308794 + ... + 974331406.

It is an arithmetic number, because the mean of its divisors is an integer number (363659050720).

Almost surely, 222032300421300 is an apocalyptic number.

22032300421300 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 22032300421300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26183451651840).

22032300421300 is an abundant number, since it is smaller than the sum of its proper divisors (30334602882380).

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

22032300421300 is a wasteful number, since it uses less digits than its factorization.

22032300421300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35402 (or 35395 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 22032300421300 its reverse (312400323022), we get a palindrome (22344700744322).

The spelling of 22032300421300 in words is "twenty-two trillion, thirty-two billion, three hundred million, four hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 59 65 100 118 130 236 260 295 325 590 650 767 1180 1300 1475 1534 2950 3068 3835 5900 7670 12703 15340 19175 22613 25406 38350 45226 50812 63515 76700 90452 113065 127030 165139 226130 254060 293969 317575 330278 452260 565325 587938 635150 660556 749477 825695 1130650 1175876 1270300 1334167 1469845 1498954 1651390 2261300 2668334 2939690 2997908 3302780 3747385 4128475 5336668 5879380 6670835 7349225 7494770 8256950 9743201 13341670 14698450 14989540 16513900 17344171 18736925 19486402 26683340 29396900 33354175 34688342 37473850 38972804 48716005 66708350 69376684 74947700 86720855 97432010 133416700 173441710 194864020 243580025 287252939 346883420 433604275 487160050 574505878 867208550 974320100 1149011756 1436264695 1734417100 2872529390 3734288207 5745058780 7181323475 7468576414 14362646950 14937152828 16947923401 18671441035 28725293900 33895846802 37342882070 67791693604 74685764140 84739617005 93357205175 169479234010 186714410350 220323004213 338958468020 373428820700 423698085025 440646008426 847396170050 881292016852 1101615021065 1694792340100 2203230042130 4406460084260 5508075105325 11016150210650 22032300421300