Search a number
-
+
22200112022100 = 22352137540148711
BaseRepresentation
bin1010000110000110111011…
…10010101000001001010100
32220121022100222101100112220
411003003131302220021110
510402211312134201400
6115114331330142340
74450622320450005
oct503033562501124
986538328340486
1022200112022100
11708a018531971
1225a66447219b0
13c50600129b2c
1456a6c3a2d1ac
152877210647a0
hex1430ddca8254

22200112022100 has 72 divisors (see below), whose sum is σ = 64701173318208. Its totient is φ = 5876817964800.

The previous prime is 22200112022059. The next prime is 22200112022129. The reversal of 22200112022100 is 122021100222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22200112022100.

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 23 ways as a sum of consecutive naturals, for example, 270033256 + ... + 270115455.

Almost surely, 222200112022100 is an apocalyptic number.

22200112022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22200112022100 is an abundant number, since it is smaller than the sum of its proper divisors (42501061296108).

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

22200112022100 is a wasteful number, since it uses less digits than its factorization.

22200112022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540148865 (or 540148858 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22200112022100 its reverse (122021100222), we get a palindrome (22322133122322).

The spelling of 22200112022100 in words is "twenty-two trillion, two hundred billion, one hundred twelve million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 137 150 274 300 411 548 685 822 1370 1644 2055 2740 3425 4110 6850 8220 10275 13700 20550 41100 540148711 1080297422 1620446133 2160594844 2700743555 3240892266 5401487110 6481784532 8102230665 10802974220 13503717775 16204461330 27007435550 32408922660 40511153325 54014871100 74000373407 81022306650 148000746814 162044613300 222001120221 296001493628 370001867035 444002240442 740003734070 888004480884 1110005601105 1480007468140 1850009335175 2220011202210 3700018670350 4440022404420 5550028005525 7400037340700 11100056011050 22200112022100