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109516225 = 5272132232
BaseRepresentation
bin1101000011100…
…01010111000001
321122002000000111
412201301113001
5211014004400
614511151321
72466605200
oct641612701
9248060014
10109516225
1156901185
1230815541
13198c6100
141078b237
1599343ba
hex68715c1

109516225 has 81 divisors (see below), whose sum is σ = 178818633. Its totient is φ = 66306240.

The previous prime is 109516217. The next prime is 109516237. The reversal of 109516225 is 522615901.

The square root of 109516225 is 10465.

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

It can be written as a sum of positive squares in 4 ways, for example, as 28227969 + 81288256 = 5313^2 + 9016^2 .

It is not a de Polignac number, because 109516225 - 23 = 109516217 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, 4761564 + ... + 4761586.

Almost surely, 2109516225 is an apocalyptic number.

109516225 is the 10465-th square number.

109516225 is the 5233-rd centered octagonal number.

It is an amenable number.

109516225 is a deficient number, since it is larger than the sum of its proper divisors (69302408).

109516225 is a wasteful number, since it uses less digits than its factorization.

109516225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The cubic root of 109516225 is about 478.4385385620.

The spelling of 109516225 in words is "one hundred nine million, five hundred sixteen thousand, two hundred twenty-five".

Divisors: 1 5 7 13 23 25 35 49 65 91 115 161 169 175 245 299 325 455 529 575 637 805 845 1127 1183 1225 1495 2093 2275 2645 3185 3703 3887 4025 4225 5635 5915 6877 7475 8281 10465 13225 14651 15925 18515 19435 25921 27209 28175 29575 34385 41405 48139 52325 73255 89401 92575 97175 129605 136045 171925 190463 207025 240695 336973 366275 447005 625807 648025 680225 952315 1203475 1684865 2235025 3129035 4380649 4761575 8424325 15645175 21903245 109516225