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23014816 = 2511151433
BaseRepresentation
bin101011111001…
…0110110100000
31121022021101121
41113302312200
521342433231
62141142024
7366423406
oct127626640
947267347
1023014816
1111a9a410
12785a914
1349ca746
1430b1476
152049311
hex15f2da0

23014816 has 48 divisors (see below), whose sum is σ = 49871808. Its totient is φ = 10368000.

The previous prime is 23014811. The next prime is 23014829. The reversal of 23014816 is 61841032.

It is not an unprimeable number, because it can be changed into a prime (23014811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52936 + ... + 53368.

It is an arithmetic number, because the mean of its divisors is an integer number (1038996).

Almost surely, 223014816 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 23014816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24935904).

23014816 is an abundant number, since it is smaller than the sum of its proper divisors (26856992).

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

23014816 is a wasteful number, since it uses less digits than its factorization.

23014816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 23014816 is about 4797.3759494123. The cubic root of 23014816 is about 284.4477497084.

Adding to 23014816 its reverse (61841032), we get a palindrome (84855848).

It can be divided in two parts, 2301 and 4816, that added together give a palindrome (7117).

The spelling of 23014816 in words is "twenty-three million, fourteen thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 151 176 302 352 433 604 866 1208 1661 1732 2416 3322 3464 4763 4832 6644 6928 9526 13288 13856 19052 26576 38104 53152 65383 76208 130766 152416 261532 523064 719213 1046128 1438426 2092256 2876852 5753704 11507408 23014816