Search a number
-
+
192216480625 = 54132192712
BaseRepresentation
bin1011001100000011111…
…1101011101101110001
3200101010220012221012001
42303000333223231301
511122124404340000
6224145242134001
716613206061461
oct2630077535561
9611126187161
10192216480625
1174578212964
1231304ab1301
13151838b3900
149436489ba1
154eeee8b46a
hex2cc0febb71

192216480625 has 135 divisors (see below), whose sum is σ = 278421578919. Its totient is φ = 132579720000.

The previous prime is 192216480619. The next prime is 192216480641. The reversal of 192216480625 is 526084612291.

The square root of 192216480625 is 438425.

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 189858018529 + 2358462096 = 435727^2 + 48564^2 .

It is a de Polignac number, because none of the positive numbers 2k-192216480625 is a prime.

It is a super-2 number, since 2×1922164806252 (a number of 23 digits) contains 22 as substring.

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, 2707274340 + ... + 2707274410.

Almost surely, 2192216480625 is an apocalyptic number.

192216480625 is the 438425-th square number.

192216480625 is the 219213-rd centered octagonal number.

It is an amenable number.

192216480625 is a deficient number, since it is larger than the sum of its proper divisors (86205098294).

192216480625 is an frugal number, since it uses more digits than its factorization.

192216480625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 192216480625 in words is "one hundred ninety-two billion, two hundred sixteen million, four hundred eighty thousand, six hundred twenty-five".

Divisors: 1 5 13 19 25 65 71 95 125 169 247 325 355 361 475 625 845 923 1235 1349 1625 1775 1805 2375 3211 4225 4615 4693 5041 6175 6745 8125 8875 9025 11875 11999 16055 17537 21125 23075 23465 25205 25631 30875 33725 44375 45125 59995 61009 65533 80275 87685 95779 105625 115375 117325 126025 128155 154375 168625 225625 227981 299975 305045 327665 333203 401375 438425 478895 576875 586625 630125 640775 843125 851929 1139905 1245127 1499875 1525225 1638325 1666015 1819801 2006875 2192125 2394475 2933125 3150625 3203875 4259645 4331639 5699525 6225635 7499375 7626125 8191625 8330075 9099005 10960625 11972375 16019375 16186651 21298225 21658195 23657413 28497625 31128175 38130625 40958125 41650375 45495025 59861875 80933255 106491125 108290975 118287065 142488125 155640875 208251875 227475125 307546369 404666275 532455625 541454875 591435325 778204375 1137375625 1537731845 2023331375 2707274375 2957176625 7688659225 10116656875 14785883125 38443296125 192216480625