Search a number
-
+
808030199025 = 32527412232
BaseRepresentation
bin10111100001000100101…
…10100101110011110001
32212020200000101010011100
423300202112211303301
5101214321212332100
61415112015235013
7112243512240000
oct13604226456361
92766600333140
10808030199025
11291757a89115
12110727818a69
135b27383422a
142b174a50c37
15160432a5400
hexbc225a5cf1

808030199025 has 135 divisors (see below), whose sum is σ = 1689765037259. Its totient is φ = 369083201760.

The previous prime is 808030198967. The next prime is 808030199033. The reversal of 808030199025 is 520991030808.

It is a happy number.

The square root of 808030199025 is 898905.

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

808030199025 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 290890871649 + 517139327376 = 539343^2 + 719124^2 .

It is not a de Polignac number, because 808030199025 - 29 = 808030198513 is a prime.

It is a super-2 number, since 2×8080301990252 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

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, 660694564 + ... + 660695786.

Almost surely, 2808030199025 is an apocalyptic number.

808030199025 is the 898905-th square number.

808030199025 is the 449453-rd centered octagonal number.

It is an amenable number.

808030199025 is an abundant number, since it is smaller than the sum of its proper divisors (881734838234).

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

808030199025 is an frugal number, since it uses more digits than its factorization.

808030199025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 808030199025 in words is "eight hundred eight billion, thirty million, one hundred ninety-nine thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 343 441 525 735 1029 1223 1225 1575 1715 2205 2401 3087 3669 3675 5145 6115 7203 8561 8575 11007 11025 12005 15435 18345 21609 25683 25725 30575 36015 42805 55035 59927 60025 77049 77175 91725 108045 128415 179781 180075 214025 275175 299635 385245 419489 539343 540225 642075 898905 1258467 1495729 1498175 1926225 2097445 2696715 2936423 3775401 4487187 4494525 6292335 7478645 8809269 10470103 10487225 13461561 13483575 14682115 18877005 22435935 26427807 31410309 31461675 37393225 44046345 52350515 67307805 73290721 73410575 94230927 94385025 112179675 132139035 157051545 219872163 220231725 261752575 336539025 366453605 471154635 513035047 659616489 660695175 785257725 1099360815 1539105141 1832268025 2355773175 2565175235 3298082445 3591245329 4617315423 5496804075 7695525705 10773735987 12825876175 16490412225 17956226645 23086577115 32321207961 38477628525 53868679935 89781133225 115432885575 161606039805 269343399675 808030199025