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2023241600 = 275219107311
BaseRepresentation
bin111100010011000…
…0011011110000000
312020000002022201002
41320212003132000
513120422212400
6532433031132
7101065161362
oct17046033600
95200068632
102023241600
119490813a6
124856b54a8
132632240a3
141529c8d32
15bc953ed5
hex78983780

2023241600 has 192 divisors, whose sum is σ = 5327337600. Its totient is φ = 757094400.

The previous prime is 2023241593. The next prime is 2023241603. The reversal of 2023241600 is 61423202.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023241603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6505445 + ... + 6505755.

It is an arithmetic number, because the mean of its divisors is an integer number (27746550).

Almost surely, 22023241600 is an apocalyptic number.

2023241600 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 2023241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663668800).

2023241600 is an abundant number, since it is smaller than the sum of its proper divisors (3304096000).

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

2023241600 is a wasteful number, since it uses less digits than its factorization.

2023241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2023241600 is about 44980.4579789935. The cubic root of 2023241600 is about 1264.7826963515.

Adding to 2023241600 its reverse (61423202), we get a palindrome (2084664802).

The spelling of 2023241600 in words is "two billion, twenty-three million, two hundred forty-one thousand, six hundred".