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23014016 = 27199463
BaseRepresentation
bin101011111001…
…0101010000000
31121022020021222
41113302222000
521342422031
62141134212
7366421154
oct127625200
947266258
1023014016
1111a99853
12785a368
1349ca27c
1430b1064
152048e7b
hex15f2a80

23014016 has 32 divisors (see below), whose sum is σ = 48266400. Its totient is φ = 10900224.

The previous prime is 23014009. The next prime is 23014049. The reversal of 23014016 is 61041032.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 23013985 and 23014003.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2300 + ... + 7163.

It is an arithmetic number, because the mean of its divisors is an integer number (1508325).

Almost surely, 223014016 is an apocalyptic number.

It is an amenable number.

23014016 is an abundant number, since it is smaller than the sum of its proper divisors (25252384).

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

23014016 is an equidigital number, since it uses as much as digits as its factorization.

23014016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9496 (or 9484 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 23014016 is about 4797.2925697731. The cubic root of 23014016 is about 284.4444538484. Note that the first 4 decimals are identical.

Adding to 23014016 its reverse (61041032), we get a palindrome (84055048).

The spelling of 23014016 in words is "twenty-three million, fourteen thousand, sixteen".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 1216 2432 9463 18926 37852 75704 151408 179797 302816 359594 605632 719188 1211264 1438376 2876752 5753504 11507008 23014016