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2314342224 = 243221297549
BaseRepresentation
bin1000100111110010…
…0000111101010000
312222021211202200200
42021330200331100
514214432422344
61021352215200
7111231404265
oct21174407520
95867752620
102314342224
11a88427627
1254709a500
132ab62728c
1417d52326c
15d82a6069
hex89f20f50

2314342224 has 60 divisors (see below), whose sum is σ = 6480844500. Its totient is φ = 770982912.

The previous prime is 2314342223. The next prime is 2314342229. The reversal of 2314342224 is 4222434132.

2314342224 is a `hidden beast` number, since 2 + 3 + 1 + 434 + 2 + 224 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1283932224 + 1030410000 = 35832^2 + 32100^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314342223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 302802 + ... + 310350.

It is an arithmetic number, because the mean of its divisors is an integer number (108014075).

Almost surely, 22314342224 is an apocalyptic number.

2314342224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2314342224 is an abundant number, since it is smaller than the sum of its proper divisors (4166502276).

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

2314342224 is a wasteful number, since it uses less digits than its factorization.

2314342224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9692 (or 9683 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 2314342224 is about 48107.6108739563. The cubic root of 2314342224 is about 1322.7441809077.

Adding to 2314342224 its reverse (4222434132), we get a palindrome (6536776356).

The spelling of 2314342224 in words is "two billion, three hundred fourteen million, three hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2129 4258 6387 7549 8516 12774 15098 17032 19161 22647 25548 30196 34064 38322 45294 51096 60392 67941 76644 90588 102192 120784 135882 153288 181176 271764 306576 362352 543528 1087056 16071821 32143642 48215463 64287284 96430926 128574568 144646389 192861852 257149136 289292778 385723704 578585556 771447408 1157171112 2314342224