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23023300320 = 2532537601719
BaseRepresentation
bin10101011100010010…
…111010111011100000
32012102112101211121200
4111130102322323200
5334122431102240
614324325121200
71443352552356
oct253422727340
965375354550
1023023300320
119845064329
124566559200
13222bb59837
141185a357d6
158eb3b3930
hex55c4baee0

23023300320 has 288 divisors, whose sum is σ = 80937118080. Its totient is φ = 5955379200.

The previous prime is 23023300297. The next prime is 23023300397. The reversal of 23023300320 is 2300332032.

23023300320 is a `hidden beast` number, since 2 + 302 + 330 + 0 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 23023300293 and 23023300302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32020921 + ... + 32021639.

It is an arithmetic number, because the mean of its divisors is an integer number (281031660).

Almost surely, 223023300320 is an apocalyptic number.

23023300320 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 23023300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40468559040).

23023300320 is an abundant number, since it is smaller than the sum of its proper divisors (57913817760).

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

23023300320 is a wasteful number, since it uses less digits than its factorization.

23023300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1367 counting only the distinct ones).

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

Adding to 23023300320 its reverse (2300332032), we get a palindrome (25323632352).

The spelling of 23023300320 in words is "twenty-three billion, twenty-three million, three hundred thousand, three hundred twenty".