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2813574225 = 3527112112309
BaseRepresentation
bin1010011110110011…
…1011110001010001
321021002020101020210
42213230323301101
521230233333400
61143104354333
7126502662210
oct24754736121
97232211223
102813574225
111214209a60
126663159a9
1335aba0927
141c9959077
1511701b950
hexa7b3bc51

2813574225 has 96 divisors (see below), whose sum is σ = 5829626880. Its totient is φ = 1163232000.

The previous prime is 2813574223. The next prime is 2813574227. The reversal of 2813574225 is 5224753182.

It is an interprime number because it is at equal distance from previous prime (2813574223) and next prime (2813574227).

It is not a de Polignac number, because 2813574225 - 21 = 2813574223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2813574221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1217371 + ... + 1219679.

It is an arithmetic number, because the mean of its divisors is an integer number (60725280).

Almost surely, 22813574225 is an apocalyptic number.

2813574225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2813574225 is an abundant number, since it is smaller than the sum of its proper divisors (3016052655).

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

2813574225 is a wasteful number, since it uses less digits than its factorization.

2813574225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551 (or 2546 counting only the distinct ones).

The product of its digits is 134400, while the sum is 39.

The square root of 2813574225 is about 53043.1355125241. The cubic root of 2813574225 is about 1411.7337332334.

It can be divided in two parts, 281357 and 4225, that added together give a palindrome (285582).

The spelling of 2813574225 in words is "two billion, eight hundred thirteen million, five hundred seventy-four thousand, two hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 165 175 211 231 275 385 525 633 825 1055 1155 1477 1925 2309 2321 3165 4431 5275 5775 6927 6963 7385 11545 11605 15825 16163 16247 22155 25399 34635 34815 36925 48489 48741 57725 58025 76197 80815 81235 110775 126995 173175 174075 177793 242445 243705 380985 404075 406175 487199 533379 634975 888965 1212225 1218525 1461597 1904925 2435995 2666895 3410393 4444825 5359189 7307985 10231179 12179975 13334475 16077567 17051965 26795945 36539925 37514323 51155895 80387835 85259825 112542969 133979725 187571615 255779475 401939175 562714845 937858075 2813574225