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8735706225 = 3452312672
BaseRepresentation
bin10000010001011000…
…00100110001110001
3211112210202212010000
420020230010301301
5120342320044400
64002500300213
7426323164161
oct101054046161
924483685100
108735706225
113783095424
1218396a1669
13a92aa484c
145cc2985a1
15361dc2600
hex208b04c71

8735706225 has 135 divisors (see below), whose sum is σ = 16973653851. Its totient is φ = 4441456800.

The previous prime is 8735706211. The next prime is 8735706263. The reversal of 8735706225 is 5226075378.

The square root of 8735706225 is 93465.

It is a perfect power (a square), and thus also a powerful number.

8735706225 is a `hidden beast` number, since 8 + 73 + 570 + 6 + 2 + 2 + 5 = 666.

8735706225 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3144854241 + 5590851984 = 56079^2 + 74772^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 8735706225 - 27 = 8735706097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 130383642 + ... + 130383708.

Almost surely, 28735706225 is an apocalyptic number.

8735706225 is the 93465-th square number.

8735706225 is the 46733-rd centered octagonal number.

It is an amenable number.

8735706225 is a deficient number, since it is larger than the sum of its proper divisors (8237947626).

8735706225 is an equidigital number, since it uses as much as digits as its factorization.

8735706225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The cubic root of 8735706225 is about 2059.5199674054.

The spelling of 8735706225 in words is "eight billion, seven hundred thirty-five million, seven hundred six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 31 45 67 75 81 93 135 155 201 225 279 335 405 465 603 675 775 837 961 1005 1395 1675 1809 2025 2077 2325 2511 2883 3015 4185 4489 4805 5025 5427 6231 6975 8649 9045 10385 12555 13467 14415 15075 18693 20925 22445 24025 25947 27135 31155 40401 43245 45225 51925 56079 62775 64387 67335 72075 77841 93465 112225 121203 129735 135675 139159 155775 168237 193161 202005 216225 280395 321935 336675 363609 389205 417477 467325 579483 606015 648675 695795 841185 965805 1010025 1252431 1401975 1609675 1738449 1818045 1946025 2087385 2897415 3030075 3478975 3757293 4205925 4313929 4829025 5215347 6262155 8692245 9090225 10436925 11271879 12941787 14487075 18786465 21569645 26076735 31310775 38825361 43461225 56359395 64708935 93932325 107848225 116476083 130383675 194126805 281796975 323544675 349428249 582380415 970634025 1747141245 2911902075 8735706225