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2320209144 = 2333114779263
BaseRepresentation
bin1000101001001011…
…1001010011111000
312222200212211121000
42022102321103320
514222433143034
61022122045000
7111332311101
oct21222712370
95880784530
102320209144
11a90774520
12549049760
132ac8cc826
1418020d3a8
15d8a64599
hex8a4b94f8

2320209144 has 256 divisors, whose sum is σ = 7299072000. Its totient is φ = 676840320.

The previous prime is 2320209127. The next prime is 2320209169. The reversal of 2320209144 is 4419020232.

It is a super-3 number, since 3×23202091443 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 8821957 + ... + 8822219.

It is an arithmetic number, because the mean of its divisors is an integer number (28512000).

Almost surely, 22320209144 is an apocalyptic number.

2320209144 is a gapful number since it is divisible by the number (24) 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 2320209144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3649536000).

2320209144 is an abundant number, since it is smaller than the sum of its proper divisors (4978862856).

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

2320209144 is a wasteful number, since it uses less digits than its factorization.

2320209144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2320209144 is about 48168.5493242219. The cubic root of 2320209144 is about 1323.8609684759.

Adding to 2320209144 its reverse (4419020232), we get a palindrome (6739229376).

The spelling of 2320209144 in words is "two billion, three hundred twenty million, two hundred nine thousand, one hundred forty-four".