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2803230261225 = 32522342112
BaseRepresentation
bin101000110010101101100…
…010110011111111101001
3100220222121221021212022100
4220302231202303333221
5331412003421324400
65543441453044013
7406345442034222
oct50625542637751
910828557255270
102803230261225
11990930447659
12393350186609
13174460816404
1499969c3a249
154cdb9b99100
hex28cad8b3fe9

2803230261225 has 135 divisors (see below), whose sum is σ = 5274113878839. Its totient is φ = 1423276192800.

The previous prime is 2803230261199. The next prime is 2803230261259. The reversal of 2803230261225 is 5221620323082.

The square root of 2803230261225 is 1674285.

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

2803230261225 is a `hidden beast` number, since 2 + 8 + 0 + 3 + 2 + 30 + 2 + 612 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1009162894041 + 1794067367184 = 1004571^2 + 1339428^2 .

It is not a de Polignac number, because 2803230261225 - 25 = 2803230261193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2803230261225.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 13285451370 + ... + 13285451580.

Almost surely, 22803230261225 is an apocalyptic number.

2803230261225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2803230261225 is the 1674285-th square number.

2803230261225 is the 837143-rd centered octagonal number.

It is an amenable number.

2803230261225 is a deficient number, since it is larger than the sum of its proper divisors (2470883617614).

2803230261225 is an frugal number, since it uses more digits than its factorization.

2803230261225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 2803230261225 by its sum of digits (36), we get a square (100916289404100 = 100457102).

The spelling of 2803230261225 in words is "two trillion, eight hundred three billion, two hundred thirty million, two hundred sixty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 45 69 75 115 207 211 225 345 529 575 633 1035 1055 1587 1725 1899 2645 3165 4761 4853 5175 5275 7935 9495 12167 13225 14559 15825 23805 24265 36501 39675 43677 44521 47475 60835 72795 109503 111619 119025 121325 133563 182505 218385 222605 279841 304175 334857 363975 400689 547515 558095 667815 839523 912525 1004571 1023983 1091925 1113025 1399205 1674285 2003445 2518569 2567237 2737575 2790475 3071949 3339075 4197615 5022855 5119915 6996025 7701711 8371425 9215847 10017225 12592845 12836185 15359745 20988075 23105133 23551609 25114275 25599575 38508555 46079235 59046451 62964225 64180925 70654827 76798725 115525665 117758045 177139353 192542775 211964481 230396175 295232255 353274135 531418059 541687007 577628325 588790225 885696765 1059822405 1476161275 1625061021 1766370675 2657090295 2708435035 4428483825 4875183063 5299112025 8125305105 12458801161 13285451475 13542175175 24375915315 37376403483 40626525525 62294005805 112129210449 121879576575 186882017415 311470029025 560646052245 934410087075 2803230261225