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225095727900 = 223526146726339
BaseRepresentation
bin1101000110100011000…
…0000011101100011100
3210112000022022202022010
43101220300003230130
512141444001243100
6251224010351220
722156040055321
oct3215060035434
9715008282263
10225095727900
118750a740a9a
123776012b510
13182c3631804
14ac75066b48
155cc6755750
hex3468c03b1c

225095727900 has 144 divisors (see below), whose sum is σ = 663396289920. Its totient is φ = 58912838400.

The previous prime is 225095727881. The next prime is 225095727919. The reversal of 225095727900 is 9727590522.

It is an interprime number because it is at equal distance from previous prime (225095727881) and next prime (225095727919).

It is a self number, because there is not a number n which added to its sum of digits gives 225095727900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8532931 + ... + 8559269.

It is an arithmetic number, because the mean of its divisors is an integer number (4606918680).

Almost surely, 2225095727900 is an apocalyptic number.

225095727900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225095727900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331698144960).

225095727900 is an abundant number, since it is smaller than the sum of its proper divisors (438300562020).

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

225095727900 is a wasteful number, since it uses less digits than its factorization.

225095727900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26884 (or 26877 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 48.

The spelling of 225095727900 in words is "two hundred twenty-five billion, ninety-five million, seven hundred twenty-seven thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 300 305 366 467 610 732 915 934 1220 1401 1525 1830 1868 2335 2802 3050 3660 4575 4670 5604 6100 7005 9150 9340 11675 14010 18300 23350 26339 28020 28487 35025 46700 52678 56974 70050 79017 85461 105356 113948 131695 140100 142435 158034 170922 263390 284870 316068 341844 395085 427305 526780 569740 658475 712175 790170 854610 1316950 1424350 1580340 1606679 1709220 1975425 2136525 2633900 2848700 3213358 3950850 4273050 4820037 6426716 7901700 8033395 8546100 9640074 12300313 16066790 19280148 24100185 24600626 32133580 36900939 40166975 48200370 49201252 61501565 73801878 80333950 96400740 120500925 123003130 147603756 160667900 184504695 241001850 246006260 307507825 369009390 482003700 615015650 738018780 750319093 922523475 1230031300 1500638186 1845046950 2250957279 3001276372 3690093900 3751595465 4501914558 7503190930 9003829116 11254786395 15006381860 18757977325 22509572790 37515954650 45019145580 56273931975 75031909300 112547863950 225095727900