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23090208 = 253613943
BaseRepresentation
bin101100000010…
…1010000100000
31121110002210220
41120011100200
521402341313
62142523040
7400156251
oct130052040
947402726
1023090208
1112041019
127896480
134a25b5b
1430d0b28
152061823
hex1605420

23090208 has 48 divisors (see below), whose sum is σ = 61621056. Its totient is φ = 7568640.

The previous prime is 23090201. The next prime is 23090209. The reversal of 23090208 is 80209032.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (23090201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3885 + ... + 7827.

It is an arithmetic number, because the mean of its divisors is an integer number (1283772).

Almost surely, 223090208 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 23090208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30810528).

23090208 is an abundant number, since it is smaller than the sum of its proper divisors (38530848).

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

23090208 is a wasteful number, since it uses less digits than its factorization.

23090208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4017 (or 4009 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 23090208 is about 4805.2271538399. The cubic root of 23090208 is about 284.7580094218.

The spelling of 23090208 in words is "twenty-three million, ninety thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 3943 5856 7886 11829 15772 23658 31544 47316 63088 94632 126176 189264 240523 378528 481046 721569 962092 1443138 1924184 2886276 3848368 5772552 7696736 11545104 23090208