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3005535225 = 352711598821
BaseRepresentation
bin1011001100100100…
…1101001111111001
321202110110000020110
42303021031033321
522123404111400
61214123014533
7134323425240
oct26311151771
97673400213
103005535225
111302601110
126ba66a449
1338b8a1b14
14207247957
15128cd8e50
hexb324d3f9

3005535225 has 96 divisors (see below), whose sum is σ = 6301025280. Its totient is φ = 1227744000.

The previous prime is 3005535199. The next prime is 3005535229. The reversal of 3005535225 is 5225355003.

It is not a de Polignac number, because 3005535225 - 211 = 3005533177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3005535192 and 3005535201.

It is not an unprimeable number, because it can be changed into a prime (3005535229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 336315 + ... + 345135.

It is an arithmetic number, because the mean of its divisors is an integer number (65635680).

Almost surely, 23005535225 is an apocalyptic number.

3005535225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3005535225 is an abundant number, since it is smaller than the sum of its proper divisors (3295490055).

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

3005535225 is a wasteful number, since it uses less digits than its factorization.

3005535225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8911 (or 8906 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 30.

The square root of 3005535225 is about 54822.7619242227. The cubic root of 3005535225 is about 1443.1360448687.

The spelling of 3005535225 in words is "three billion, five million, five hundred thirty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 59 75 77 105 165 175 177 231 275 295 385 413 525 649 825 885 1155 1239 1475 1925 1947 2065 3245 4425 4543 5775 6195 8821 9735 10325 13629 16225 22715 26463 30975 44105 48675 61747 68145 97031 113575 132315 185241 220525 291093 308735 340725 485155 520439 661575 679217 926205 1455465 1543675 1561317 2037651 2425775 2602195 3396085 3643073 4631025 5724829 7277325 7806585 10188255 10929219 13010975 16980425 17174487 18215365 28624145 39032925 40073803 50941275 54646095 85872435 91076825 120221409 143120725 200369015 273230475 429362175 601107045 1001845075 3005535225