Search a number
-
+
22806072 = 2332893559
BaseRepresentation
bin101011011111…
…1111000111000
31120220200001100
41112333320320
521314243242
62132451400
7364564002
oct126777070
946820040
1022806072
11119675a3
127779b60
134956723
143059372
15200754c
hex15bfe38

22806072 has 48 divisors (see below), whose sum is σ = 62478000. Its totient is φ = 7514496.

The previous prime is 22806067. The next prime is 22806079. The reversal of 22806072 is 27060822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22806079) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4629 + ... + 8187.

It is an arithmetic number, because the mean of its divisors is an integer number (1301625).

Almost surely, 222806072 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 22806072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31239000).

22806072 is an abundant number, since it is smaller than the sum of its proper divisors (39671928).

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

22806072 is a wasteful number, since it uses less digits than its factorization.

22806072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3660 (or 3653 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 22806072 is about 4775.5703324315. The cubic root of 22806072 is about 283.5851577366.

Adding to 22806072 its reverse (27060822), we get a palindrome (49866894).

The spelling of 22806072 in words is "twenty-two million, eight hundred six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1602 2136 3204 3559 6408 7118 10677 14236 21354 28472 32031 42708 64062 85416 128124 256248 316751 633502 950253 1267004 1900506 2534008 2850759 3801012 5701518 7602024 11403036 22806072