Search a number
-
+
2323313120 = 25571204517
BaseRepresentation
bin1000101001111010…
…1111000111100000
312222220201112110002
42022132233013200
514224232004440
61022312355132
7111400556432
oct21236570740
95886645402
102323313120
11a924a4597
1254a0a5aa8
132b04485bb
141807ba652
15d8e79115
hex8a7af1e0

2323313120 has 48 divisors (see below), whose sum is σ = 5566161888. Its totient is φ = 916231680.

The previous prime is 2323313119. The next prime is 2323313123. The reversal of 2323313120 is 213133232.

2323313120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2323313092 and 2323313101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2323313123) 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, 90899 + ... + 113618.

It is an arithmetic number, because the mean of its divisors is an integer number (115961706).

Almost surely, 22323313120 is an apocalyptic number.

2323313120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2323313120 is an abundant number, since it is smaller than the sum of its proper divisors (3242848768).

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

2323313120 is a wasteful number, since it uses less digits than its factorization.

2323313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204603 (or 204595 counting only the distinct ones).

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

The square root of 2323313120 is about 48200.7585002560. The cubic root of 2323313120 is about 1324.4510591869.

Adding to 2323313120 its reverse (213133232), we get a palindrome (2536446352).

The spelling of 2323313120 in words is "two billion, three hundred twenty-three million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 284 355 568 710 1136 1420 2272 2840 5680 11360 204517 409034 818068 1022585 1636136 2045170 3272272 4090340 6544544 8180680 14520707 16361360 29041414 32722720 58082828 72603535 116165656 145207070 232331312 290414140 464662624 580828280 1161656560 2323313120