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114335278225 = 527296612
BaseRepresentation
bin110101001111011101…
…0011110010010010001
3101221010012222221002021
41222132322132102101
53333124312400400
6124305213451441
711155222554400
oct1523672362221
9357105887067
10114335278225
1144542313883
121a1aa7a0b81
13aa2171b9ac
145768c91637
152e929e971a
hex1a9ee9e491

114335278225 has 27 divisors (see below), whose sum is σ = 164939878161. Its totient is φ = 78393218400.

The previous prime is 114335278193. The next prime is 114335278249. The reversal of 114335278225 is 522872533411.

The square root of 114335278225 is 338135.

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 71588888721 + 42746389504 = 267561^2 + 206752^2 .

It is not a de Polignac number, because 114335278225 - 25 = 114335278193 is a prime.

It is a Duffinian number.

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11829895 + ... + 11839555.

Almost surely, 2114335278225 is an apocalyptic number.

114335278225 is the 338135-th square number.

114335278225 is the 169068-th centered octagonal number.

It is an amenable number.

114335278225 is a deficient number, since it is larger than the sum of its proper divisors (50604599936).

114335278225 is an frugal number, since it uses more digits than its factorization.

114335278225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19346 (or 9673 counting only the distinct ones).

The product of its digits is 403200, while the sum is 43.

The spelling of 114335278225 in words is "one hundred fourteen billion, three hundred thirty-five million, two hundred seventy-eight thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 9661 48305 67627 241525 338135 473389 1690675 2366945 11834725 93334921 466674605 653344447 2333373025 3266722235 4573411129 16333611175 22867055645 114335278225