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23243332320 = 25345131953137
BaseRepresentation
bin10101101001011010…
…010001101011100000
32012222212102121210000
4111221122101223200
5340100243113240
614402225140000
71451664031155
oct255132215340
965885377700
1023243332320
11994828965a
12460818a600
1322656089a0
1411a6d5022c
15910878430
hex569691ae0

23243332320 has 960 divisors, whose sum is σ = 95435081280. Its totient is φ = 5279219712.

The previous prime is 23243332283. The next prime is 23243332361. The reversal of 23243332320 is 2323334232.

23243332320 is a `hidden beast` number, since 2 + 3 + 2 + 4 + 3 + 332 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 169659292 + ... + 169659428.

It is an arithmetic number, because the mean of its divisors is an integer number (99411543).

Almost surely, 223243332320 is an apocalyptic number.

23243332320 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 23243332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47717540640).

23243332320 is an abundant number, since it is smaller than the sum of its proper divisors (72191748960).

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

23243332320 is a wasteful number, since it uses less digits than its factorization.

23243332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 23243332320 its reverse (2323334232), we get a palindrome (25566666552).

The spelling of 23243332320 in words is "twenty-three billion, two hundred forty-three million, three hundred thirty-two thousand, three hundred twenty".