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4294836225 = 32521722572
BaseRepresentation
bin1111111111111110…
…0000000000000001
3102002022111021201100
43333333200000001
532243434224400
61550101125013
7211300335261
oct37777400001
912068437640
104294836225
111904361029
129ba3b9769
13535a32014
142ca5817a1
151a20b4100
hexfffe0001

4294836225 has 81 divisors (see below), whose sum is σ = 8203568347. Its totient is φ = 2147450880.

The previous prime is 4294836197. The next prime is 4294836241. The reversal of 4294836225 is 5226384924.

The square root of 4294836225 is 65535.

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

4294836225 is digitally balanced in base 2, 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 13 ways, for example, as 3538161 + 4291298064 = 1881^2 + 65508^2 .

It is not a de Polignac number, because 4294836225 - 213 = 4294828033 is a prime.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16711297 + ... + 16711553.

It is a Proth number, since it is equal to 32767 ⋅ 217 + 1 and 32767 < 217.

Almost surely, 24294836225 is an apocalyptic number.

4294836225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4294836225 is the 65535-th square number.

4294836225 is the 32768-th centered octagonal number.

It is an amenable number.

4294836225 is a deficient number, since it is larger than the sum of its proper divisors (3908732122).

4294836225 is a wasteful number, since it uses less digits than its factorization.

4294836225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 282 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The cubic root of 4294836225 is about 1625.4821417458.

The spelling of 4294836225 in words is "four billion, two hundred ninety-four million, eight hundred thirty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 257 289 425 765 771 867 1275 1285 1445 2313 2601 3825 3855 4335 4369 6425 7225 11565 13005 13107 19275 21675 21845 39321 57825 65025 65535 66049 74273 109225 196605 198147 222819 327675 330245 371365 594441 668457 983025 990735 1114095 1122833 1651225 1856825 2972205 3342285 3368499 4953675 5570475 5614165 10105497 14861025 16711425 16842495 19088161 28070825 50527485 57264483 84212475 95440805 171793449 252637425 286322415 477204025 858967245 1431612075 4294836225