Search a number
-
+
2305412253 = 33198815101
BaseRepresentation
bin1000100101101001…
…1100110010011101
312221200001002002000
42021122130302131
514210141143003
61020432552513
7111062452344
oct21132346235
95850032060
102305412253
11a83388391
125440b2739
132a981b781
1417c27ab5b
15d75e01a3
hex8969cc9d

2305412253 has 32 divisors (see below), whose sum is σ = 3599971200. Its totient is φ = 1454112000.

The previous prime is 2305412231. The next prime is 2305412257. The reversal of 2305412253 is 3522145032.

It is a happy number.

2305412253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2305412253 - 26 = 2305412189 is a prime.

It is a super-3 number, since 3×23054122533 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2305412257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449403 + ... + 454503.

It is an arithmetic number, because the mean of its divisors is an integer number (112499100).

Almost surely, 22305412253 is an apocalyptic number.

It is an amenable number.

2305412253 is a deficient number, since it is larger than the sum of its proper divisors (1294558947).

2305412253 is a wasteful number, since it uses less digits than its factorization.

2305412253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6010 (or 6004 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2305412253 is about 48014.7087151427. The cubic root of 2305412253 is about 1321.0407030426.

Adding to 2305412253 its reverse (3522145032), we get a palindrome (5827557285).

The spelling of 2305412253 in words is "two billion, three hundred five million, four hundred twelve thousand, two hundred fifty-three".

Divisors: 1 3 9 19 27 57 171 513 881 2643 5101 7929 15303 16739 23787 45909 50217 96919 137727 150651 290757 451953 872271 2616813 4493981 13481943 40445829 85385639 121337487 256156917 768470751 2305412253