Search a number
-
+
22290496 = 261923797
BaseRepresentation
bin101010100001…
…0000001000000
31112221110210221
41111002001000
521201243441
62113432424
7360315604
oct125020100
945843727
1022290496
11116451a8
12756b714
134805b57
142d63504
151e548d1
hex1542040

22290496 has 56 divisors (see below), whose sum is σ = 48646080. Its totient is φ = 10086912.

The previous prime is 22290491. The next prime is 22290497. The reversal of 22290496 is 69409222.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22290491) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27570 + ... + 28366.

It is an arithmetic number, because the mean of its divisors is an integer number (868680).

Almost surely, 222290496 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 22290496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24323040).

22290496 is an abundant number, since it is smaller than the sum of its proper divisors (26355584).

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

22290496 is a wasteful number, since it uses less digits than its factorization.

22290496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 22290496 is about 4721.2811820522. The cubic root of 22290496 is about 281.4318490788.

The spelling of 22290496 in words is "twenty-two million, two hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 152 184 304 368 437 608 736 797 874 1216 1472 1594 1748 3188 3496 6376 6992 12752 13984 15143 18331 25504 27968 30286 36662 51008 60572 73324 121144 146648 242288 293296 348289 484576 586592 696578 969152 1173184 1393156 2786312 5572624 11145248 22290496