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315342055220 = 225172232718753
BaseRepresentation
bin1001001011010111101…
…10011110011100110100
31010010221201201011222112
410211223312132130310
520131310031231340
6400511030350152
731532320146323
oct4455366363464
91103851634875
10315342055220
11111810407485
12511474bb358
13239764ab8aa
14113969660ba
15830953d065
hex496bd9e734

315342055220 has 144 divisors (see below), whose sum is σ = 736841968128. Its totient is φ = 113123450880.

The previous prime is 315342055219. The next prime is 315342055283. The reversal of 315342055220 is 22550243513.

It is a super-2 number, since 2×3153420552202 (a number of 24 digits) contains 22 as substring.

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, 36022364 + ... + 36031116.

It is an arithmetic number, because the mean of its divisors is an integer number (5116958112).

Almost surely, 2315342055220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315342055220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368420984064).

315342055220 is an abundant number, since it is smaller than the sum of its proper divisors (421499912908).

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

315342055220 is a wasteful number, since it uses less digits than its factorization.

315342055220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9090 (or 9071 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

Adding to 315342055220 its reverse (22550243513), we get a palindrome (337892298733).

The spelling of 315342055220 in words is "three hundred fifteen billion, three hundred forty-two million, fifty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 271 289 340 391 460 542 578 782 1084 1156 1355 1445 1564 1955 2710 2890 3910 4607 5420 5780 6233 6647 7820 8753 9214 12466 13294 17506 18428 23035 24932 26588 31165 33235 35012 43765 46070 62330 66470 78319 87530 92140 105961 124660 132940 148801 156638 175060 201319 211922 297602 313276 391595 402638 423844 529805 595204 744005 783190 805276 1006595 1059610 1488010 1566380 1801337 2013190 2119220 2372063 2529617 2976020 3422423 3602674 4026380 4744126 5059234 6844846 7205348 9006685 9488252 10118468 11860315 12648085 13689692 17112115 18013370 23720630 25296170 34224230 36026740 40325071 47441260 50592340 54557449 58181191 68448460 80650142 109114898 116362382 161300284 201625355 218229796 232724764 272787245 290905955 403250710 545574490 581811910 685526207 806501420 927476633 1091148980 1163623820 1371052414 1854953266 2742104828 3427631035 3709906532 4637383165 6855262070 9274766330 13710524140 15767102761 18549532660 31534205522 63068411044 78835513805 157671027610 315342055220