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23323000320 = 2932537109251
BaseRepresentation
bin10101101110001010…
…001011111000000000
32020012102100011201200
4111232022023320000
5340231142002240
614414152501200
71453652142324
oct255612137000
966172304650
1023323000320
119989253384
12462a9aa800
132278c80c09
1411b376b984
15917863930
hex56e28be00

23323000320 has 480 divisors, whose sum is σ = 84051807840. Its totient is φ = 5971968000.

The previous prime is 23323000313. The next prime is 23323000321. The reversal of 23323000320 is 2300032332.

23323000320 is a `hidden beast` number, since 2 + 332 + 300 + 0 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23323000293 and 23323000302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23323000321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92920195 + ... + 92920445.

It is an arithmetic number, because the mean of its divisors is an integer number (175107933).

Almost surely, 223323000320 is an apocalyptic number.

23323000320 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 23323000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42025903920).

23323000320 is an abundant number, since it is smaller than the sum of its proper divisors (60728807520).

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

23323000320 is a wasteful number, since it uses less digits than its factorization.

23323000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 23323000320 its reverse (2300032332), we get a palindrome (25623032652).

The spelling of 23323000320 in words is "twenty-three billion, three hundred twenty-three million, three hundred twenty", and thus it is an aban number.