Search a number
-
+
23286688 = 254117749
BaseRepresentation
bin101100011010…
…1001110100000
31121211002022221
41120311032200
521430133223
62151040424
7401635135
oct130651640
947732287
1023286688
11121656a7
127970114
134a94409
14314258c
15209eb5d
hex16353a0

23286688 has 24 divisors (see below), whose sum is σ = 46966500. Its totient is φ = 11358720.

The previous prime is 23286643. The next prime is 23286709. The reversal of 23286688 is 88668232.

It can be written as a sum of positive squares in 2 ways, for example, as 16875664 + 6411024 = 4108^2 + 2532^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

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, 7563 + ... + 10186.

Almost surely, 223286688 is an apocalyptic number.

It is an amenable number.

23286688 is an abundant number, since it is smaller than the sum of its proper divisors (23679812).

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

23286688 is a wasteful number, since it uses less digits than its factorization.

23286688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17800 (or 17792 counting only the distinct ones).

The product of its digits is 221184, while the sum is 43.

The square root of 23286688 is about 4825.6282492542. The cubic root of 23286688 is about 285.5634201621.

It can be divided in two parts, 2328668 and 8, that added together give a square (2328676 = 15262).

The spelling of 23286688 in words is "twenty-three million, two hundred eighty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 17749 35498 70996 141992 283984 567968 727709 1455418 2910836 5821672 11643344 23286688