Search a number
-
+
22200112131312 = 2433746757267341
BaseRepresentation
bin1010000110000110111011…
…10011000010110011110000
32220121022100222120220100210
411003003131303002303300
510402211312201200222
6115114331332344120
74450622321413263
oct503033563026360
986538328526323
1022200112131312
11708a0185a6a25
1225a6644775040
13c5060016775b
1456a6c3a5acda
15287721086d0c
hex1430ddcc2cf0

22200112131312 has 80 divisors (see below), whose sum is σ = 58901777536032. Its totient is φ = 7199855447040.

The previous prime is 22200112131299. The next prime is 22200112131319. The reversal of 22200112131312 is 21313121100222.

It is a super-2 number, since 2×222001121313122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22200112131319) 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, 82906762 + ... + 83174102.

Almost surely, 222200112131312 is an apocalyptic number.

It is an amenable number.

22200112131312 is an abundant number, since it is smaller than the sum of its proper divisors (36701665404720).

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

22200112131312 is a wasteful number, since it uses less digits than its factorization.

22200112131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314146 (or 314140 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 22200112131312 its reverse (21313121100222), we get a palindrome (43513233231534).

The spelling of 22200112131312 in words is "twenty-two trillion, two hundred billion, one hundred twelve million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 46757 93514 140271 187028 267341 280542 374056 534682 561084 748112 802023 1069364 1122168 1604046 1730009 2138728 2244336 3208092 3460018 4277456 5190027 6416184 6920036 9891617 10380054 12832368 13840072 19783234 20760108 27680144 29674851 39566468 41520216 59349702 79132936 83040432 118699404 158265872 237398808 474797616 12500063137 25000126274 37500189411 50000252548 75000378822 100000505096 150000757644 200001010192 300001515288 462502336069 600003030576 925004672138 1387507008207 1850009344276 2775014016414 3700018688552 5550028032828 7400037377104 11100056065656 22200112131312