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220004240000 = 27542750053
BaseRepresentation
bin1100110011100101000…
…1100100101010000000
3210000212110210100221012
43030321101210222000
512101032041140000
6245022450220052
721615624120266
oct3147121445200
9700773710835
10220004240000
1185337726856
123677ab84628
131799184c98c
14a910b8c436
155ac977b735
hex3339464a80

220004240000 has 80 divisors (see below), whose sum is σ = 547687004370. Its totient is φ = 88001664000.

The previous prime is 220004239981. The next prime is 220004240003. The reversal of 220004240000 is 42400022.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 47221028416 + 172783211584 = 217304^2 + 415672^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (220004240003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1295027 + ... + 1455026.

Almost surely, 2220004240000 is an apocalyptic number.

220004240000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220004240000 is an abundant number, since it is smaller than the sum of its proper divisors (327682764370).

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

220004240000 is an frugal number, since it uses more digits than its factorization.

220004240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750087 (or 2750060 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 220004240000 its reverse (42400022), we get a palindrome (220046640022).

It can be divided in two parts, 2 and 20004240000, that added together give a palindrome (20004240002).

The spelling of 220004240000 in words is "two hundred twenty billion, four million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 16000 20000 40000 80000 2750053 5500106 11000212 13750265 22000424 27500530 44000848 55001060 68751325 88001696 110002120 137502650 176003392 220004240 275005300 343756625 352006784 440008480 550010600 687513250 880016960 1100021200 1375026500 1718783125 1760033920 2200042400 2750053000 3437566250 4400084800 5500106000 6875132500 8800169600 11000212000 13750265000 22000424000 27500530000 44000848000 55001060000 110002120000 220004240000