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467208225 = 32521121312
BaseRepresentation
bin11011110110010…
…000100000100001
31012120010122012100
4123312100200201
51424101130400
6114205521013
714402130051
oct3366204041
91176118170
10467208225
1121a7aa500
12110573169
1375a43493
144609b561
152b03c100
hex1bd90821

467208225 has 81 divisors (see below), whose sum is σ = 926887507. Its totient is φ = 224796000.

The previous prime is 467208193. The next prime is 467208251. The reversal of 467208225 is 522802764.

The square root of 467208225 is 21615.

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

It can be written as a sum of positive squares in only one way, i.e., 168194961 + 299013264 = 12969^2 + 17292^2 .

It is not a de Polignac number, because 467208225 - 25 = 467208193 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 467208225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3566410 + ... + 3566540.

Almost surely, 2467208225 is an apocalyptic number.

467208225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

467208225 is the 21615-th square number.

467208225 is the 10808-th centered octagonal number.

It is an amenable number.

467208225 is a deficient number, since it is larger than the sum of its proper divisors (459679282).

467208225 is a wasteful number, since it uses less digits than its factorization.

467208225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The cubic root of 467208225 is about 775.9555193133.

Multiplying 467208225 by its sum of digits (36), we get a square (16819496100 = 1296902).

It can be divided in two parts, 46720 and 8225, that added together give a palindrome (54945).

The spelling of 467208225 in words is "four hundred sixty-seven million, two hundred eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 131 165 225 275 363 393 495 605 655 825 1089 1179 1441 1815 1965 2475 3025 3275 4323 5445 5895 7205 9075 9825 12969 15851 17161 21615 27225 29475 36025 47553 51483 64845 79255 85805 108075 142659 154449 188771 237765 257415 324225 396275 429025 566313 713295 772245 943855 1188825 1287075 1698939 2076481 2831565 3566475 3861225 4719275 6229443 8494695 10382405 14157825 18688329 31147215 42473475 51912025 93441645 155736075 467208225