Search a number
-
+
23330280960 = 29345716073
BaseRepresentation
bin10101101110100101…
…111101011000000000
32020012221001001220000
4111232211331120000
5340240022442320
614415012520000
71454101054560
oct255645753000
966187031800
1023330280960
119992376438
124631320000
13227a62ca9c
1411b4704da0
15918300c90
hex56e97d600

23330280960 has 400 divisors, whose sum is σ = 95505021216. Its totient is φ = 5332303872.

The previous prime is 23330280959. The next prime is 23330281001. The reversal of 23330280960 is 6908203332.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1443484 + ... + 1459556.

Almost surely, 223330280960 is an apocalyptic number.

23330280960 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 23330280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47752510608).

23330280960 is an abundant number, since it is smaller than the sum of its proper divisors (72174740256).

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

23330280960 is an equidigital number, since it uses as much as digits as its factorization.

23330280960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16115 (or 16090 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 23330280960 in words is "twenty-three billion, three hundred thirty million, two hundred eighty thousand, nine hundred sixty".