Search a number
-
+
22896288032 = 2523211632
BaseRepresentation
bin10101010100101110…
…011010000100100000
32012002200101221111212
4111110232122010200
5333342422204112
614303550525252
71440251144222
oct252456320440
965080357455
1022896288032
11978a3a30a2
12452bb06828
13220b748c37
141172c12412
158e0175522
hex554b9a120

22896288032 has 54 divisors (see below), whose sum is σ = 47162703987. Its totient is φ = 10940982976.

The previous prime is 22896288001. The next prime is 22896288059. The reversal of 22896288032 is 23088269822.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 11448144016 + 11448144016 = 106996^2 + 106996^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=106996.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19686683 + ... + 19687845.

Almost surely, 222896288032 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 22896288032

22896288032 is an abundant number, since it is smaller than the sum of its proper divisors (24266415955).

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

22896288032 is an frugal number, since it uses more digits than its factorization.

22896288032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 50.

Multiplying 22896288032 by its sum of digits (50), we get a square (1144814401600 = 10699602).

The spelling of 22896288032 in words is "twenty-two billion, eight hundred ninety-six million, two hundred eighty-eight thousand, thirty-two".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 529 736 1058 1163 2116 2326 4232 4652 8464 9304 16928 18608 26749 37216 53498 106996 213992 427984 615227 855968 1230454 1352569 2460908 2705138 4921816 5410276 9843632 10820552 19687264 21641104 31109087 43282208 62218174 124436348 248872696 497745392 715509001 995490784 1431018002 2862036004 5724072008 11448144016 22896288032