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5204224025 = 5271113217941
BaseRepresentation
bin1001101100011001…
…00010100000011001
3111102200122222020222
410312030202200121
541124240132100
62220224325425
7242652113540
oct46614424031
914380588228
105204224025
1122307155a0
121012a73875
1364c264700
14375263157
15206d47485
hex136322819

5204224025 has 144 divisors (see below), whose sum is σ = 9234373248. Its totient is φ = 2815488000.

The previous prime is 5204223989. The next prime is 5204224097.

5204224025 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5204224025 - 210 = 5204223001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5204223985 and 5204224003.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 5530055 + ... + 5530995.

It is an arithmetic number, because the mean of its divisors is an integer number (64127592).

Almost surely, 25204224025 is an apocalyptic number.

5204224025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5204224025 is a deficient number, since it is larger than the sum of its proper divisors (4030149223).

5204224025 is a wasteful number, since it uses less digits than its factorization.

5204224025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 5204224025 is about 72140.3079075769. The cubic root of 5204224025 is about 1732.9471882881.

It can be divided in two parts, 52042 and 24025, that added together give a palindrome (76067).

The spelling of 5204224025 in words is "five billion, two hundred four million, two hundred twenty-four thousand, twenty-five".

Divisors: 1 5 7 11 13 17 25 35 55 65 77 85 91 119 143 169 175 187 221 275 325 385 425 455 595 715 845 935 941 1001 1105 1183 1309 1547 1859 1925 2275 2431 2873 2975 3575 4225 4675 4705 5005 5525 5915 6545 6587 7735 9295 10351 12155 12233 13013 14365 15997 17017 20111 23525 25025 29575 31603 32725 32935 38675 46475 51755 60775 61165 65065 71825 72457 79985 85085 85631 100555 111979 134563 158015 159029 164675 175967 207961 221221 258775 305825 325325 362285 399925 425425 428155 502775 559895 672815 790075 795145 879835 941941 1039805 1106105 1113203 1231769 1455727 1749319 1811425 2140775 2287571 2703493 2799475 3364075 3975725 4399175 4709705 5199025 5530525 5566015 6158845 7278635 8746595 11437855 12245233 13517465 16012997 18924451 23548525 27830075 29738423 30794225 36393175 43732975 57189275 61226165 67587325 80064985 94622255 148692115 208168961 306130825 400324925 473111275 743460575 1040844805 5204224025