Search a number
-
+
23320668 = 22372172333
BaseRepresentation
bin101100011110…
…1100001011100
31121212210221110
41120331201130
521432230133
62151502020
7402136200
oct130754134
947783843
1023320668
1112189188
127987910
134aa6a17
143150b00
1520a9c63
hex163d85c

23320668 has 72 divisors (see below), whose sum is σ = 67051152. Its totient is φ = 6268416.

The previous prime is 23320667. The next prime is 23320681. The reversal of 23320668 is 86602332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23320667) 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 23 ways as a sum of consecutive naturals, for example, 8830 + ... + 11162.

It is an arithmetic number, because the mean of its divisors is an integer number (931266).

Almost surely, 223320668 is an apocalyptic number.

23320668 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23320668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33525576).

23320668 is an abundant number, since it is smaller than the sum of its proper divisors (43730484).

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

23320668 is a wasteful number, since it uses less digits than its factorization.

23320668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 23320668 is about 4829.1477508977. The cubic root of 23320668 is about 285.7022509693.

The spelling of 23320668 in words is "twenty-three million, three hundred twenty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 357 476 588 714 833 1428 1666 2333 2499 3332 4666 4998 6999 9332 9996 13998 16331 27996 32662 39661 48993 65324 79322 97986 114317 118983 158644 195972 228634 237966 277627 342951 457268 475932 555254 685902 832881 1110508 1371804 1665762 1943389 3331524 3886778 5830167 7773556 11660334 23320668