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15228335522500 = 225417245912
BaseRepresentation
bin1101110110011001111110…
…0001111000001011000100
31222220210222212220202020021
43131212133201320023010
53444000112343210000
652215444544144524
73131132231126302
oct335463741701304
958823885822207
1015228335522500
114941334445171
12185b42a908144
13866044b13cc9
143a90abd25272
151b61cd52911a
hexdd99f8782c4

15228335522500 has 135 divisors (see below), whose sum is σ = 35383162105137. Its totient is φ = 5731771680000.

The previous prime is 15228335522497. The next prime is 15228335522509. The reversal of 15228335522500 is 522553382251.

The square root of 15228335522500 is 3902350.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 7436823518916 + 7791512003584 = 2727054^2 + 2791328^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15228335522509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3316995205 + ... + 3316999795.

Almost surely, 215228335522500 is an apocalyptic number.

15228335522500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15228335522500 is the 3902350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15228335522500

15228335522500 is an abundant number, since it is smaller than the sum of its proper divisors (20154826582637).

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

15228335522500 is an frugal number, since it uses more digits than its factorization.

15228335522500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9240 (or 4615 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 43.

The spelling of 15228335522500 in words is "fifteen trillion, two hundred twenty-eight billion, three hundred thirty-five million, five hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 289 340 425 500 578 625 850 1156 1250 1445 1700 2125 2500 2890 4250 4591 5780 7225 8500 9182 10625 14450 18364 21250 22955 28900 36125 42500 45910 72250 78047 91820 114775 144500 156094 180625 229550 312188 361250 390235 459100 573875 722500 780470 1147750 1326799 1560940 1951175 2295500 2653598 2869375 3902350 5307196 5738750 6633995 7804700 9755875 11477500 13267990 19511750 21077281 26535980 33169975 39023500 42154562 48779375 66339950 84309124 97558750 105386405 132679900 165849875 195117500 210772810 331699750 358313777 421545620 526932025 663399500 716627554 829249375 1053864050 1433255108 1658498750 1791568885 2107728100 2634660125 3316997500 3583137770 5269320250 6091334209 7166275540 8957844425 10538640500 12182668418 13173300625 17915688850 24365336836 26346601250 30456671045 35831377700 44789222125 52693202500 60913342090 89578444250 121826684180 152283355225 179156888500 223946110625 304566710450 447892221250 609133420900 761416776125 895784442500 1522833552250 3045667104500 3807083880625 7614167761250 15228335522500