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2323023000 = 2335323131257
BaseRepresentation
bin1000101001110110…
…1000010010011000
312222220011210110220
42022131220102120
514224143214000
61022302240040
7111365240544
oct21235502230
95886153426
102323023000
11a92316621
12549b86020
132b037652c
14180742a24
15d8e1d1a0
hex8a768498

2323023000 has 256 divisors, whose sum is σ = 7650339840. Its totient is φ = 585728000.

The previous prime is 2323022993. The next prime is 2323023041. The reversal of 2323023000 is 3203232.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9038872 + ... + 9039128.

It is an arithmetic number, because the mean of its divisors is an integer number (29884140).

Almost surely, 22323023000 is an apocalyptic number.

2323023000 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 2323023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3825169920).

2323023000 is an abundant number, since it is smaller than the sum of its proper divisors (5327316840).

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

2323023000 is a wasteful number, since it uses less digits than its factorization.

2323023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 2323023000 is about 48197.7489100892. The cubic root of 2323023000 is about 1324.3959273246.

Adding to 2323023000 its reverse (3203232), we get a palindrome (2326226232).

The spelling of 2323023000 in words is "two billion, three hundred twenty-three million, twenty-three thousand".