Search a number
-
+
231800625 = 325472292
BaseRepresentation
bin11011101000011…
…11111100110001
3121011011200200100
431310033330301
5433320110000
635000143013
75513162400
oct1564177461
9534150610
10231800625
11109933271
1265767a69
133903ca44
1422add637
151553ba00
hexdd0ff31

231800625 has 135 divisors (see below), whose sum is σ = 504065991. Its totient is φ = 102312000.

The previous prime is 231800579. The next prime is 231800633. The reversal of 231800625 is 526008132.

231800625 = 13 + 23 + ... + 1743.

The square root of 231800625 is 15225.

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

231800625 is a `hidden beast` number, since 2 + 31 + 8 + 0 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 173369889 + 58430736 = 13167^2 + 7644^2 .

It is not a de Polignac number, because 231800625 - 27 = 231800497 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 7993111 + ... + 7993139.

Almost surely, 2231800625 is an apocalyptic number.

231800625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

231800625 is the 15225-th square number.

231800625 is the 7613-rd centered octagonal number.

It is an amenable number.

231800625 is an abundant number, since it is smaller than the sum of its proper divisors (272265366).

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

231800625 is an equidigital number, since it uses as much as digits as its factorization.

231800625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 231800625 is about 614.2872965397.

Adding to 231800625 its reverse (526008132), we get a palindrome (757808757).

The spelling of 231800625 in words is "two hundred thirty-one million, eight hundred thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 29 35 45 49 63 75 87 105 125 145 147 175 203 225 245 261 315 375 435 441 525 609 625 725 735 841 875 1015 1125 1225 1305 1421 1575 1827 1875 2175 2205 2523 2625 3045 3625 3675 4205 4263 4375 5075 5625 5887 6125 6525 7105 7569 7875 9135 10875 11025 12615 12789 13125 15225 17661 18125 18375 21025 21315 25375 29435 30625 32625 35525 37845 39375 41209 45675 52983 54375 55125 63075 63945 76125 88305 91875 105125 106575 123627 126875 147175 163125 177625 189225 206045 228375 264915 275625 315375 319725 370881 380625 441525 525625 532875 618135 735875 888125 946125 1030225 1141875 1324575 1576875 1598625 1854405 2207625 2664375 3090675 3679375 4730625 5151125 6622875 7993125 9272025 11038125 15453375 25755625 33114375 46360125 77266875 231800625