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222132113312000 = 28536941628541
BaseRepresentation
bin110010100000011100101001…
…101101010000100100000000
31002010111121210220110000212212
4302200130221231100210000
5213103403032001441000
62104234030055241252
764534341562431353
oct6240345155204400
91063447726400785
10222132113312000
1164861777aa0941
1220ab6837379228
1396c3c7877a878
143cbd37475029a
151aa327555cc35
hexca0729b50900

222132113312000 has 72 divisors (see below), whose sum is σ = 553358860854072. Its totient is φ = 88852845312000.

The previous prime is 222132113311991. The next prime is 222132113312009. The reversal of 222132113312000 is 213311231222.

It is an interprime number because it is at equal distance from previous prime (222132113311991) and next prime (222132113312009).

It can be written as a sum of positive squares in 4 ways, for example, as 3696483045376 + 218435630266624 = 1922624^2 + 14779568^2 .

It is not an unprimeable number, because it can be changed into a prime (222132113312009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3470782271 + ... + 3470846270.

Almost surely, 2222132113312000 is an apocalyptic number.

222132113312000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222132113312000 is an abundant number, since it is smaller than the sum of its proper divisors (331226747542072).

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

222132113312000 is an frugal number, since it uses more digits than its factorization.

222132113312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6941628572 (or 6941628548 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 222132113312000 its reverse (213311231222), we get a palindrome (222345424543222).

The spelling of 222132113312000 in words is "two hundred twenty-two trillion, one hundred thirty-two billion, one hundred thirteen million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 1000 1280 1600 2000 3200 4000 6400 8000 16000 32000 6941628541 13883257082 27766514164 34708142705 55533028328 69416285410 111066056656 138832570820 173540713525 222132113312 277665141640 347081427050 444264226624 555330283280 694162854100 867703567625 888528453248 1110660566560 1388325708200 1735407135250 1777056906496 2221321133120 2776651416400 3470814270500 4442642266240 5553302832800 6941628541000 8885284532480 11106605665600 13883257082000 22213211331200 27766514164000 44426422662400 55533028328000 111066056656000 222132113312000