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2204345000 = 235411133083
BaseRepresentation
bin1000001101100011…
…1010001010101000
312200121212022212102
42003120322022220
514003303020000
61002422432532
7105424423544
oct20330721250
95617768772
102204345000
11a31328030
12516292748
132918c3270
1416ca8ca24
15cd7c93d5
hex8363a2a8

2204345000 has 160 divisors (see below), whose sum is σ = 6069682080. Its totient is φ = 739680000.

The previous prime is 2204344999. The next prime is 2204345009. The reversal of 2204345000 is 5434022.

It is a super-4 number, since 4×22043450004 (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2204345009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 713459 + ... + 716541.

It is an arithmetic number, because the mean of its divisors is an integer number (37935513).

Almost surely, 22204345000 is an apocalyptic number.

2204345000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2204345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034841040).

2204345000 is an abundant number, since it is smaller than the sum of its proper divisors (3865337080).

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

2204345000 is a wasteful number, since it uses less digits than its factorization.

2204345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3133 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2204345000 is about 46950.4526069771. The cubic root of 2204345000 is about 1301.4471064916.

Adding to 2204345000 its reverse (5434022), we get a palindrome (2209779022).

The spelling of 2204345000 in words is "two billion, two hundred four million, three hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 11 13 20 22 25 26 40 44 50 52 55 65 88 100 104 110 125 130 143 200 220 250 260 275 286 325 440 500 520 550 572 625 650 715 1000 1100 1144 1250 1300 1375 1430 1625 2200 2500 2600 2750 2860 3083 3250 3575 5000 5500 5720 6166 6500 6875 7150 8125 11000 12332 13000 13750 14300 15415 16250 17875 24664 27500 28600 30830 32500 33913 35750 40079 55000 61660 65000 67826 71500 77075 80158 89375 123320 135652 143000 154150 160316 169565 178750 200395 271304 308300 320632 339130 357500 385375 400790 440869 616600 678260 715000 770750 801580 847825 881738 1001975 1356520 1541500 1603160 1695650 1763476 1926875 2003950 2204345 3083000 3391300 3526952 3853750 4007900 4239125 4408690 5009875 6782600 7707500 8015800 8478250 8817380 10019750 11021725 15415000 16956500 17634760 20039500 21195625 22043450 25049375 33913000 40079000 42391250 44086900 50098750 55108625 84782500 88173800 100197500 110217250 169565000 200395000 220434500 275543125 440869000 551086250 1102172500 2204345000