Search a number
-
+
2302135348 = 225386312583
BaseRepresentation
bin1000100100110111…
…1100110000110100
312221102212121000011
42021031330300310
514203321312343
61020234430004
7111022553602
oct21115746064
95842777004
102302135348
11a8154a3a7
12542b92304
132a8c42086
1417ba66872
15d719429d
hex8937cc34

2302135348 has 24 divisors (see below), whose sum is σ = 4109833728. Its totient is φ = 1127951136.

The previous prime is 2302135331. The next prime is 2302135349. The reversal of 2302135348 is 8435312032.

It is a super-3 number, since 3×23021353483 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2302135349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176665 + ... + 189247.

It is an arithmetic number, because the mean of its divisors is an integer number (171243072).

Almost surely, 22302135348 is an apocalyptic number.

It is an amenable number.

2302135348 is a deficient number, since it is larger than the sum of its proper divisors (1807698380).

2302135348 is a wasteful number, since it uses less digits than its factorization.

2302135348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13503 (or 13501 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 2302135348 is about 47980.5726101721. The cubic root of 2302135348 is about 1320.4144986923.

The spelling of 2302135348 in words is "two billion, three hundred two million, one hundred thirty-five thousand, three hundred forty-eight".

Divisors: 1 2 4 53 106 212 863 1726 3452 12583 25166 45739 50332 91478 182956 666899 1333798 2667596 10859129 21718258 43436516 575533837 1151067674 2302135348