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2230312233000 = 233533797120693
BaseRepresentation
bin100000011101001000111…
…101111110100000101000
321220012211021221111222210
4200131020331332200220
5243020134412424000
64424331415245120
7320064134120145
oct40351075764050
97805737844883
102230312233000
1178a963125315
123002bb0797a0
1313241883a497
1479d3a6553cc
153d0376a4350
hex20748f7e828

2230312233000 has 256 divisors, whose sum is σ = 7154349546240. Its totient is φ = 578051712000.

The previous prime is 2230312232989. The next prime is 2230312233031. The reversal of 2230312233000 is 3322130322.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107770654 + ... + 107791346.

It is an arithmetic number, because the mean of its divisors is an integer number (27946677915).

Almost surely, 22230312233000 is an apocalyptic number.

2230312233000 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 2230312233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577174773120).

2230312233000 is an abundant number, since it is smaller than the sum of its proper divisors (4924037313240).

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

2230312233000 is a wasteful number, since it uses less digits than its factorization.

2230312233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21725 (or 21711 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 2230312233000 its reverse (3322130322), we get a palindrome (2233634363322).

The spelling of 2230312233000 in words is "two trillion, two hundred thirty billion, three hundred twelve million, two hundred thirty-three thousand".