Search a number
-
+
22233162 = 2372471609
BaseRepresentation
bin101010011010…
…0000001001010
31112211120011110
41110310001022
521142430122
62112311150
7356656500
oct124640112
945746143
1022233162
1111606116
1275424b6
1347b5a23
142d4a670
151e4290c
hex153404a

22233162 has 48 divisors (see below), whose sum is σ = 52859520. Its totient is φ = 6213312.

The previous prime is 22233149. The next prime is 22233181. The reversal of 22233162 is 26133222.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13014 + ... + 14622.

It is an arithmetic number, because the mean of its divisors is an integer number (1101240).

Almost surely, 222233162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22233162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26429760).

22233162 is an abundant number, since it is smaller than the sum of its proper divisors (30626358).

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

22233162 is a wasteful number, since it uses less digits than its factorization.

22233162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1668 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 22233162 is about 4715.2054037974. The cubic root of 22233162 is about 281.1903490284.

Adding to 22233162 its reverse (26133222), we get a palindrome (48366384).

The spelling of 22233162 in words is "twenty-two million, two hundred thirty-three thousand, one hundred sixty-two".

Divisors: 1 2 3 6 7 14 21 42 47 49 94 98 141 147 282 294 329 658 987 1609 1974 2303 3218 4606 4827 6909 9654 11263 13818 22526 33789 67578 75623 78841 151246 157682 226869 236523 453738 473046 529361 1058722 1588083 3176166 3705527 7411054 11116581 22233162