Search a number
-
+
2305196145 = 33572818681
BaseRepresentation
bin1000100101100110…
…1000000001110001
312221122122002122000
42021121220001301
514210112234040
61020424204213
7111060562320
oct21131500161
95848562560
102305196145
11a8324aa8a
12544009669
132a97742b5
1417c2220b7
15d759b130
hex89668071

2305196145 has 64 divisors (see below), whose sum is σ = 4700782080. Its totient is φ = 1049932800.

The previous prime is 2305196143. The next prime is 2305196213. The reversal of 2305196145 is 5416915032.

2305196145 is a `hidden beast` number, since 2 + 30 + 5 + 1 + 9 + 614 + 5 = 666.

It is not a de Polignac number, because 2305196145 - 21 = 2305196143 is a prime.

It is a super-2 number, since 2×23051961452 = 10627858533845722050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2305196143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 261205 + ... + 269885.

It is an arithmetic number, because the mean of its divisors is an integer number (73449720).

Almost surely, 22305196145 is an apocalyptic number.

It is an amenable number.

2305196145 is an abundant number, since it is smaller than the sum of its proper divisors (2395585935).

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

2305196145 is a wasteful number, since it uses less digits than its factorization.

2305196145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8983 (or 8977 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 2305196145 is about 48012.4582270060. The cubic root of 2305196145 is about 1320.9994238910. Note that the first 3 decimals are identical.

The spelling of 2305196145 in words is "two billion, three hundred five million, one hundred ninety-six thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 281 315 843 945 1405 1967 2529 4215 5901 7587 8681 9835 12645 17703 26043 29505 37935 43405 53109 60767 78129 88515 130215 182301 234387 265545 303835 390645 546903 911505 1171935 1640709 2439361 2734515 7318083 8203545 12196805 17075527 21954249 36590415 51226581 65862747 85377635 109771245 153679743 256132905 329313735 461039229 768398715 2305196145