Search a number
-
+
321471990225 = 3252377992
BaseRepresentation
bin1001010110110010011…
…10010100100111010001
31010201202221021010222100
410223121032110213101
520231333312141400
6403403204231013
732140242555051
oct4533116244721
91121687233870
10321471990225
11114376615371
125237839b469
132441246c679
14117b8b19561
158567790100
hex4ad93949d1

321471990225 has 27 divisors (see below), whose sum is σ = 575807287003. Its totient is φ = 171447192240.

The previous prime is 321471990167. The next prime is 321471990289. The reversal of 321471990225 is 522099174123.

The square root of 321471990225 is 566985.

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

321471990225 is a `hidden beast` number, since 321 + 4 + 7 + 19 + 90 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 115729916481 + 205742073744 = 340191^2 + 453588^2 .

It is not a de Polignac number, because 321471990225 - 211 = 321471988177 is a prime.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8485876 + ... + 8523674.

Almost surely, 2321471990225 is an apocalyptic number.

321471990225 is the 566985-th square number.

321471990225 is the 283493-rd centered octagonal number.

It is an amenable number.

321471990225 is a deficient number, since it is larger than the sum of its proper divisors (254335296778).

321471990225 is an frugal number, since it uses more digits than its factorization.

321471990225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75614 (or 37807 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 321471990225 in words is "three hundred twenty-one billion, four hundred seventy-one million, nine hundred ninety thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 37799 113397 188995 340191 566985 944975 1700955 2834925 8504775 1428764401 4286293203 7143822005 12858879609 21431466015 35719110025 64294398045 107157330075 321471990225