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1034055225 = 325274761229
BaseRepresentation
bin111101101000100…
…110111000111001
32200001202110002200
4331220212320321
54104204231400
6250335220413
734424216160
oct7550467071
92601673080
101034055225
11490773aa5
1224a377709
13136301bc8
149b4943d7
1560babb00
hex3da26e39

1034055225 has 144 divisors (see below), whose sum is σ = 2206763520. Its totient is φ = 453081600.

The previous prime is 1034055193. The next prime is 1034055227. The reversal of 1034055225 is 5225504301.

It is a happy number.

1034055225 is a `hidden beast` number, since 103 + 4 + 0 + 552 + 2 + 5 = 666.

It is not a de Polignac number, because 1034055225 - 25 = 1034055193 is a prime.

It is a super-3 number, since 3×10340552253 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1034055227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4515411 + ... + 4515639.

Almost surely, 21034055225 is an apocalyptic number.

1034055225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1034055225 is an abundant number, since it is smaller than the sum of its proper divisors (1172708295).

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

1034055225 is a wasteful number, since it uses less digits than its factorization.

1034055225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 1034055225 is about 32156.7290780639. The cubic root of 1034055225 is about 1011.2252636374.

Adding to 1034055225 its reverse (5225504301), we get a palindrome (6259559526).

The spelling of 1034055225 in words is "one billion, thirty-four million, fifty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 47 61 63 75 105 141 175 183 225 229 235 305 315 329 423 427 525 549 687 705 915 987 1145 1175 1281 1525 1575 1603 1645 2061 2115 2135 2745 2867 2961 3435 3525 3843 4575 4809 4935 5725 6405 8015 8225 8601 10305 10575 10675 10763 13725 13969 14335 14427 14805 17175 19215 20069 24045 24675 25803 32025 32289 40075 41907 43005 51525 53815 60207 69845 71675 72135 74025 75341 96075 96867 97783 100345 120225 125721 129015 161445 180621 209535 215025 226023 269075 293349 301035 349225 360675 376705 484335 488915 501725 628605 645075 656543 678069 807225 880047 903105 1047675 1130115 1466745 1505175 1883525 1969629 2421675 2444575 3143025 3282715 3390345 4400235 4515525 4595801 5650575 5908887 7333725 9848145 13787403 16413575 16951725 22001175 22979005 29544435 41362209 49240725 68937015 114895025 147722175 206811045 344685075 1034055225