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2314523640 = 23351113294651
BaseRepresentation
bin1000100111110100…
…1101001111111000
312222022011222112210
42021331031033320
514220004224030
61021400135120
7111233061222
oct21175151770
95868158483
102314523640
11a88540960
125471674a0
132ab68ba20
1417d56d412
15d82debb0
hex89f4d3f8

2314523640 has 256 divisors, whose sum is σ = 8440588800. Its totient is φ = 499968000.

The previous prime is 2314523597. The next prime is 2314523663. The reversal of 2314523640 is 463254132.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2314523598 and 2314523607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 495315 + ... + 499965.

It is an arithmetic number, because the mean of its divisors is an integer number (32971050).

Almost surely, 22314523640 is an apocalyptic number.

2314523640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2314523640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4220294400).

2314523640 is an abundant number, since it is smaller than the sum of its proper divisors (6126065160).

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

2314523640 is a wasteful number, since it uses less digits than its factorization.

2314523640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4718 (or 4714 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2314523640 is about 48109.4963598664. The cubic root of 2314523640 is about 1322.7787423028.

Adding to 2314523640 its reverse (463254132), we get a palindrome (2777777772).

The spelling of 2314523640 in words is "two billion, three hundred fourteen million, five hundred twenty-three thousand, six hundred forty".