Search a number
-
+
22817680 = 245285221
BaseRepresentation
bin101011100001…
…0101110010000
31120221020222021
41113002232100
521320131210
62133021224
7364642564
oct127025620
946836867
1022817680
1111975296
127784814
13495bab2
14305d6a4
15200abda
hex15c2b90

22817680 has 20 divisors (see below), whose sum is σ = 53051292. Its totient is φ = 9127040.

The previous prime is 22817671. The next prime is 22817713. The reversal of 22817680 is 8671822.

It can be written as a sum of positive squares in 2 ways, for example, as 12475024 + 10342656 = 3532^2 + 3216^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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, 142531 + ... + 142690.

Almost surely, 222817680 is an apocalyptic number.

22817680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22817680 is an abundant number, since it is smaller than the sum of its proper divisors (30233612).

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

22817680 is a wasteful number, since it uses less digits than its factorization.

22817680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285234 (or 285228 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 22817680 is about 4776.7855300400. The cubic root of 22817680 is about 283.6332633196.

The spelling of 22817680 in words is "twenty-two million, eight hundred seventeen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 285221 570442 1140884 1426105 2281768 2852210 4563536 5704420 11408840 22817680