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2123326400 = 265213313789
BaseRepresentation
bin111111010001111…
…0110001111000000
312110222102011020112
41332203312033000
513322032421100
6550410130452
7103421655656
oct17643661700
95428364215
102123326400
1199a620608
124b3120a28
1327ab97370
14161ddcdd6
15c6623b35
hex7e8f63c0

2123326400 has 336 divisors, whose sum is σ = 6032113920. Its totient is φ = 729907200.

The previous prime is 2123326393. The next prime is 2123326427. The reversal of 2123326400 is 46233212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23857556 + ... + 23857644.

It is an arithmetic number, because the mean of its divisors is an integer number (17952720).

Almost surely, 22123326400 is an apocalyptic number.

2123326400 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 2123326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016056960).

2123326400 is an abundant number, since it is smaller than the sum of its proper divisors (3908787520).

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

2123326400 is a wasteful number, since it uses less digits than its factorization.

2123326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 2123326400 is about 46079.5659701781. The cubic root of 2123326400 is about 1285.3031932044.

Adding to 2123326400 its reverse (46233212), we get a palindrome (2169559612).

The spelling of 2123326400 in words is "two billion, one hundred twenty-three million, three hundred twenty-six thousand, four hundred".