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23480208 = 243241297
BaseRepresentation
bin101100110010…
…0011110010000
31122011220210100
41121210132100
522002331313
62155132400
7403402263
oct131443620
948156710
1023480208
1112288034
127a44100
134b3151b
143192cda
1520dc173
hex1664790

23480208 has 90 divisors (see below), whose sum is σ = 68048162. Its totient is φ = 7557120.

The previous prime is 23480207. The next prime is 23480239. The reversal of 23480208 is 80208432.

It can be written as a sum of positive squares in 3 ways, for example, as 898704 + 22581504 = 948^2 + 4752^2 .

It is not an unprimeable number, because it can be changed into a prime (23480207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 242016 + ... + 242112.

Almost surely, 223480208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23480208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34024081).

23480208 is an abundant number, since it is smaller than the sum of its proper divisors (44567954).

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

23480208 is a wasteful number, since it uses less digits than its factorization.

23480208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 23480208 is about 4845.6380384837. The cubic root of 23480208 is about 286.3522807838.

The spelling of 23480208 in words is "twenty-three million, four hundred eighty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 97 123 144 164 194 246 291 328 369 388 492 582 656 738 776 873 984 1164 1476 1552 1681 1746 1968 2328 2952 3362 3492 3977 4656 5043 5904 6724 6984 7954 10086 11931 13448 13968 15129 15908 20172 23862 26896 30258 31816 35793 40344 47724 60516 63632 71586 80688 95448 121032 143172 163057 190896 242064 286344 326114 489171 572688 652228 978342 1304456 1467513 1956684 2608912 2935026 3913368 5870052 7826736 11740104 23480208