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115431225 = 35271321301
BaseRepresentation
bin1101110000101…
…01011100111001
322001012111212120
412320111130321
5214022244400
615242031453
72601102120
oct670253471
9261174776
10115431225
115a181208
12327a8589
131abb7500
141148aab7
15a201ca0
hex6e15739

115431225 has 72 divisors (see below), whose sum is σ = 236359872. Its totient is φ = 48672000.

The previous prime is 115431209. The next prime is 115431271. The reversal of 115431225 is 522134511.

It is a happy number.

It is not a de Polignac number, because 115431225 - 24 = 115431209 is a prime.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 115431195 and 115431204.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 88075 + ... + 89375.

It is an arithmetic number, because the mean of its divisors is an integer number (3282776).

Almost surely, 2115431225 is an apocalyptic number.

115431225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

115431225 is an abundant number, since it is smaller than the sum of its proper divisors (120928647).

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

115431225 is a wasteful number, since it uses less digits than its factorization.

115431225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1329 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 115431225 is about 10743.8924510626. The cubic root of 115431225 is about 486.9014877189.

Adding to 115431225 its reverse (522134511), we get a palindrome (637565736).

The spelling of 115431225 in words is "one hundred fifteen million, four hundred thirty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 75 91 105 169 175 195 273 325 455 507 525 845 975 1183 1301 1365 2275 2535 3549 3903 4225 5915 6505 6825 9107 12675 16913 17745 19515 27321 29575 32525 45535 50739 84565 88725 97575 118391 136605 219869 227675 253695 355173 422825 591955 659607 683025 1099345 1268475 1539083 1775865 2959775 3298035 4617249 5496725 7695415 8879325 16490175 23086245 38477075 115431225