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2204145450 = 2325213537109
BaseRepresentation
bin1000001101100000…
…1001011100101010
312200121111012010200
42003120021130222
514003230123300
61002414253030
7105422633013
oct20330113452
95617435120
102204145450
11a31201111
125161b7176
132918534a0
1416ca3a00a
15cd78a200
hex8360972a

2204145450 has 144 divisors (see below), whose sum is σ = 6498568440. Its totient is φ = 532247040.

The previous prime is 2204145439. The next prime is 2204145509. The reversal of 2204145450 is 545414022.

2204145450 is a `hidden beast` number, since 2 + 204 + 1 + 4 + 5 + 450 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1814409 + 2202331041 = 1347^2 + 46929^2 .

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 306496 + ... + 313604.

Almost surely, 22204145450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2204145450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249284220).

2204145450 is an abundant number, since it is smaller than the sum of its proper divisors (4294422990).

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

2204145450 is a wasteful number, since it uses less digits than its factorization.

2204145450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7193 (or 7185 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2204145450 is about 46948.3274462467. The cubic root of 2204145450 is about 1301.4078338117.

Adding to 2204145450 its reverse (545414022), we get a palindrome (2749559472).

The spelling of 2204145450 in words is "two billion, two hundred four million, one hundred forty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 53 65 75 78 90 106 117 130 150 159 195 225 234 265 318 325 390 450 477 530 585 650 689 795 954 975 1170 1325 1378 1590 1950 2067 2385 2650 2925 3445 3975 4134 4770 5850 6201 6890 7109 7950 10335 11925 12402 14218 17225 20670 21327 23850 31005 34450 35545 42654 51675 62010 63981 71090 92417 103350 106635 127962 155025 177725 184834 213270 277251 310050 319905 355450 376777 462085 533175 554502 639810 753554 831753 924170 1066350 1130331 1386255 1599525 1663506 1883885 2260662 2310425 2772510 3199050 3390993 3767770 4158765 4620850 4898101 5651655 6781986 6931275 8317530 9419425 9796202 11303310 13862550 14694303 16954965 18838850 20793825 24490505 28258275 29388606 33909930 41587650 44082909 48981010 56516550 73471515 84774825 88165818 122452525 146943030 169549650 220414545 244905050 367357575 440829090 734715150 1102072725 2204145450