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2302313132 = 227292939677
BaseRepresentation
bin1000100100111010…
…1000001010101100
312221110012121212202
42021032220022230
514203343010012
61020242321032
7111024224120
oct21116501254
95843177782
102302313132
11a81660a29
12543059178
132a8ca4c82
1417bab1580
15d71cbcc2
hex893a82ac

2302313132 has 48 divisors (see below), whose sum is σ = 4780157760. Its totient is φ = 949331712.

The previous prime is 2302313119. The next prime is 2302313171. The reversal of 2302313132 is 2313132032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233078 + ... + 242754.

It is an arithmetic number, because the mean of its divisors is an integer number (99586620).

Almost surely, 22302313132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2302313132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2390078880).

2302313132 is an abundant number, since it is smaller than the sum of its proper divisors (2477844628).

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

2302313132 is a wasteful number, since it uses less digits than its factorization.

2302313132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10010 (or 10008 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 2302313132 is about 47982.4252409150. The cubic root of 2302313132 is about 1320.4484877927.

Adding to 2302313132 its reverse (2313132032), we get a palindrome (4615445164).

The spelling of 2302313132 in words is "two billion, three hundred two million, three hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 58 116 203 293 406 586 812 1172 2051 4102 8204 8497 9677 16994 19354 33988 38708 59479 67739 118958 135478 237916 270956 280633 561266 1122532 1964431 2835361 3928862 5670722 7857724 11341444 19847527 39695054 79390108 82225469 164450938 328901876 575578283 1151156566 2302313132