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23255208 = 23332331151
BaseRepresentation
bin101100010110…
…1100010101000
31121202111011000
41120231202220
521423131313
62150235000
7401444304
oct130554250
947674130
1023255208
1112143a89
127955a60
134a82ca2
143134d04
152095673
hex162d8a8

23255208 has 128 divisors (see below), whose sum is σ = 70041600. Its totient is φ = 7128000.

The previous prime is 23255207. The next prime is 23255209. The reversal of 23255208 is 80255232.

It is an interprime number because it is at equal distance from previous prime (23255207) and next prime (23255209).

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

It is not an unprimeable number, because it can be changed into a prime (23255207) 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 31 ways as a sum of consecutive naturals, for example, 153933 + ... + 154083.

It is an arithmetic number, because the mean of its divisors is an integer number (547200).

Almost surely, 223255208 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 23255208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35020800).

23255208 is an abundant number, since it is smaller than the sum of its proper divisors (46786392).

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

23255208 is a wasteful number, since it uses less digits than its factorization.

23255208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 23255208 is about 4822.3653947000. The cubic root of 23255208 is about 285.4346829435.

The spelling of 23255208 in words is "twenty-three million, two hundred fifty-five thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 31 36 46 54 62 69 72 92 93 108 124 138 151 184 186 207 216 248 276 279 302 372 414 453 552 558 604 621 713 744 828 837 906 1116 1208 1242 1359 1426 1656 1674 1812 2139 2232 2484 2718 2852 3348 3473 3624 4077 4278 4681 4968 5436 5704 6417 6696 6946 8154 8556 9362 10419 10872 12834 13892 14043 16308 17112 18724 19251 20838 25668 27784 28086 31257 32616 37448 38502 41676 42129 51336 56172 62514 77004 83352 84258 93771 107663 112344 125028 126387 154008 168516 187542 215326 250056 252774 322989 337032 375084 430652 505548 645978 750168 861304 968967 1011096 1291956 1937934 2583912 2906901 3875868 5813802 7751736 11627604 23255208