Search a number
-
+
23222916 = 2233239349
BaseRepresentation
bin101100010010…
…1101010000100
31121200211212000
41120211222010
521421113131
62145425300
7401251203
oct130455204
947624760
1023222916
11121217a2
12793b230
134a71392
14312723a
15208ace6
hex1625a84

23222916 has 48 divisors (see below), whose sum is σ = 62832000. Its totient is φ = 7403616.

The previous prime is 23222909. The next prime is 23222917. The reversal of 23222916 is 61922232.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 23222916.

It is not an unprimeable number, because it can be changed into a prime (23222917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2191 + ... + 7158.

It is an arithmetic number, because the mean of its divisors is an integer number (1309000).

Almost surely, 223222916 is an apocalyptic number.

It is an amenable number.

23222916 is an abundant number, since it is smaller than the sum of its proper divisors (39609084).

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

23222916 is a wasteful number, since it uses less digits than its factorization.

23222916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9385 (or 9377 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 23222916 is about 4819.0160821479. The cubic root of 23222916 is about 285.3025042875.

The spelling of 23222916 in words is "twenty-three million, two hundred twenty-two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 9349 18698 28047 37396 56094 84141 112188 168282 215027 252423 336564 430054 504846 645081 860108 1009692 1290162 1935243 2580324 3870486 5805729 7740972 11611458 23222916