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704106225 = 3252292612
BaseRepresentation
bin101001111101111…
…100111011110001
31211001220022011100
4221331330323301
52420222344400
6153511235013
723306542554
oct5175747361
91731808140
10704106225
113314a4479
12177978a69
13b2b49404
146972669b
1541c34100
hex29f7cef1

704106225 has 81 divisors (see below), whose sum is σ = 1327882179. Its totient is φ = 356630400.

The previous prime is 704106217. The next prime is 704106251. The reversal of 704106225 is 522601407.

The square root of 704106225 is 26535.

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

It can be written as a sum of positive squares in 13 ways, for example, as 701243361 + 2862864 = 26481^2 + 1692^2 .

It is not a de Polignac number, because 704106225 - 23 = 704106217 is a prime.

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, 11542695 + ... + 11542755.

Almost surely, 2704106225 is an apocalyptic number.

704106225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

704106225 is the 26535-th square number.

704106225 is the 13268-th centered octagonal number.

It is an amenable number.

704106225 is a deficient number, since it is larger than the sum of its proper divisors (623775954).

704106225 is a wasteful number, since it uses less digits than its factorization.

704106225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The cubic root of 704106225 is about 889.6367768346.

It can be divided in two parts, 704 and 106225, that added together give a square (106929 = 3272).

The spelling of 704106225 in words is "seven hundred four million, one hundred six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 61 75 87 145 183 225 261 305 435 549 725 841 915 1305 1525 1769 2175 2523 2745 3721 4205 4575 5307 6525 7569 8845 11163 12615 13725 15921 18605 21025 26535 33489 37845 44225 51301 55815 63075 79605 93025 107909 132675 153903 167445 189225 256505 279075 323727 398025 461709 539545 769515 837225 971181 1282525 1618635 2308545 2697725 3129361 3847575 4855905 8093175 9388083 11542725 15646805 24279525 28164249 46940415 78234025 140821245 234702075 704106225