Search a number
-
+
22202133331332 = 223194317331306751
BaseRepresentation
bin1010000110001010101100…
…10001010011110110000100
32220121111120211211111112210
411003011112101103312010
510402224432113100312
6115115304053543420
74451023363342563
oct503052621236604
986544524744483
1022202133331332
11708a965503469
1225a6b09644b70
13c50862b254b6
1456a836273bda
152877dd735e3c
hex143156453d84

22202133331332 has 96 divisors (see below), whose sum is σ = 55831972331520. Its totient is φ = 6844191984000.

The previous prime is 22202133331303. The next prime is 22202133331361. The reversal of 22202133331332 is 23313333120222.

It is an interprime number because it is at equal distance from previous prime (22202133331303) and next prime (22202133331361).

It is a self number, because there is not a number n which added to its sum of digits gives 22202133331332.

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 31 ways as a sum of consecutive naturals, for example, 16336957 + ... + 17643707.

It is an arithmetic number, because the mean of its divisors is an integer number (581583045120).

Almost surely, 222202133331332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22202133331332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27915986165760).

22202133331332 is an abundant number, since it is smaller than the sum of its proper divisors (33629839000188).

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

22202133331332 is a wasteful number, since it uses less digits than its factorization.

22202133331332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308553 (or 1308551 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 22202133331332 its reverse (23313333120222), we get a palindrome (45515466451554).

The spelling of 22202133331332 in words is "twenty-two trillion, two hundred two billion, one hundred thirty-three million, three hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 43 57 76 86 114 129 172 228 258 516 817 1634 1733 2451 3268 3466 4902 5199 6932 9804 10398 20796 32927 65854 74519 98781 131708 149038 197562 223557 298076 395124 447114 894228 1306751 1415861 2613502 2831722 3920253 4247583 5227004 5663444 7840506 8495166 15681012 16990332 24828269 49656538 56190293 74484807 99313076 112380586 148969614 168570879 224761172 297939228 337141758 674283516 1067615567 2135231134 2264599483 3202846701 4270462268 4529198966 6405693402 6793798449 9058397932 12811386804 13587596898 27175193796 43027390177 86054780354 97377777769 129082170531 172109560708 194755555538 258164341062 292133333307 389511111076 516328682124 584266666614 1168533333228 1850177777611 3700355555222 5550533332833 7400711110444 11101066665666 22202133331332