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4505355225 = 3252721672447
BaseRepresentation
bin1000011001000101…
…00100001111011001
3102121222121202111100
410030202210033121
533211332331400
62023021222013
7216434613300
oct41442441731
912558552440
104505355225
111a02179078
12a58a01909
1356a530187
1430a501437
151b57ea100
hex10c8a43d9

4505355225 has 108 divisors (see below), whose sum is σ = 9447145344. Its totient is φ = 2046421440.

The previous prime is 4505355199. The next prime is 4505355247. The reversal of 4505355225 is 5225535054.

4505355225 is a `hidden beast` number, since 4 + 50 + 53 + 552 + 2 + 5 = 666.

It is not a de Polignac number, because 4505355225 - 25 = 4505355193 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4505355225.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1839952 + ... + 1842398.

It is an arithmetic number, because the mean of its divisors is an integer number (87473568).

Almost surely, 24505355225 is an apocalyptic number.

4505355225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4505355225 is an abundant number, since it is smaller than the sum of its proper divisors (4941790119).

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

4505355225 is a wasteful number, since it uses less digits than its factorization.

4505355225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 150000, while the sum is 36.

The square root of 4505355225 is about 67121.9429471466. The cubic root of 4505355225 is about 1651.6182745809.

The spelling of 4505355225 in words is "four billion, five hundred five million, three hundred fifty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 167 175 225 245 315 441 501 525 735 835 1169 1225 1503 1575 2205 2447 2505 3507 3675 4175 5845 7341 7515 8183 10521 11025 12235 12525 17129 17535 22023 24549 29225 36705 37575 40915 51387 52605 61175 73647 85645 87675 110115 119903 122745 154161 183525 204575 256935 263025 359709 368235 408649 428225 550575 599515 613725 770805 1079127 1225947 1284675 1798545 1841175 2043245 2860543 2997575 3677841 3854025 5395635 6129735 8581629 8992725 10216225 14302715 18389205 20023801 25744887 26978175 30648675 42908145 60071403 71513575 91946025 100119005 128724435 180214209 214540725 300357015 500595025 643622175 901071045 1501785075 4505355225