Search a number
-
+
2314022340 = 223575509577
BaseRepresentation
bin1000100111101101…
…0010110111000100
312222021020111220010
42021323102313010
514214342203330
61021341310220
7111225602550
oct21173226704
95867214803
102314022340
11a88229263
12546b65370
132ab5447b6
1417d47c860
15d82413b0
hex89ed2dc4

2314022340 has 48 divisors (see below), whose sum is σ = 7404872832. Its totient is φ = 528919296.

The previous prime is 2314022309. The next prime is 2314022351. The reversal of 2314022340 is 432204132.

2314022340 is digitally balanced in base 2 and base 4, because in such bases 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 (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2754369 + ... + 2755208.

It is an arithmetic number, because the mean of its divisors is an integer number (154268184).

Almost surely, 22314022340 is an apocalyptic number.

2314022340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2314022340 is an abundant number, since it is smaller than the sum of its proper divisors (5090850492).

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

2314022340 is a wasteful number, since it uses less digits than its factorization.

2314022340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5509596 (or 5509594 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2314022340 is about 48104.2860876243. The cubic root of 2314022340 is about 1322.6832357010.

Adding to 2314022340 its reverse (432204132), we get a palindrome (2746226472).

The spelling of 2314022340 in words is "two billion, three hundred fourteen million, twenty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 5509577 11019154 16528731 22038308 27547885 33057462 38567039 55095770 66114924 77134078 82643655 110191540 115701117 154268156 165287310 192835195 231402234 330574620 385670390 462804468 578505585 771340780 1157011170 2314022340