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225135424794 = 237217431104513
BaseRepresentation
bin1101000110101100011…
…1011111010100011010
3210112010002000120012110
43101223013133110122
512142034132043134
6251231545253150
722160031351600
oct3215307372432
9715102016173
10225135424794
1187530094945
12377714941b6
13182cb9203b7
14ac7a43b870
155cc9e977e9
hex346b1df51a

225135424794 has 96 divisors (see below), whose sum is σ = 555887390976. Its totient is φ = 60399575040.

The previous prime is 225135424793. The next prime is 225135424823. The reversal of 225135424794 is 497424531522.

It is not an unprimeable number, because it can be changed into a prime (225135424793) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2101882 + ... + 2206394.

It is an arithmetic number, because the mean of its divisors is an integer number (5790493656).

Almost surely, 2225135424794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225135424794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277943695488).

225135424794 is an abundant number, since it is smaller than the sum of its proper divisors (330751966182).

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

225135424794 is a wasteful number, since it uses less digits than its factorization.

225135424794 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104980 (or 104973 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 48.

The spelling of 225135424794 in words is "two hundred twenty-five billion, one hundred thirty-five million, four hundred twenty-four thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 238 294 357 431 714 833 862 1293 1666 2499 2586 3017 4998 6034 7327 9051 14654 18102 21119 21981 42238 43962 51289 63357 102578 104513 126714 153867 209026 307734 313539 359023 627078 718046 731591 1077069 1463182 1776721 2154138 2194773 3553442 4389546 5121137 5330163 10242274 10660326 12437047 15363411 24874094 30726822 37311141 45045103 74622282 87059329 90090206 135135309 174118658 261177987 270270618 315315721 522355974 630631442 765766751 945947163 1531533502 1891894326 2207210047 2297300253 4414420094 4594600506 5360367257 6621630141 10720734514 13243260282 16081101771 32162203542 37522570799 75045141598 112567712397 225135424794