Search a number
-
+
22261416 = 2332393881
BaseRepresentation
bin101010011101…
…0111010101000
31112212222220220
41110322322220
521144331131
62113050040
7360135042
oct124727250
945788826
1022261416
1111625371
127556920
1347c5848
142d56a92
151e4ae96
hex153aea8

22261416 has 32 divisors (see below), whose sum is σ = 55900800. Its totient is φ = 7387520.

The previous prime is 22261391. The next prime is 22261417. The reversal of 22261416 is 61416222.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (22261417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3796 + ... + 7676.

It is an arithmetic number, because the mean of its divisors is an integer number (1746900).

Almost surely, 222261416 is an apocalyptic number.

It is an amenable number.

22261416 is an abundant number, since it is smaller than the sum of its proper divisors (33639384).

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

22261416 is a wasteful number, since it uses less digits than its factorization.

22261416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4129 (or 4125 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 22261416 is about 4718.2005044296. The cubic root of 22261416 is about 281.3094112516.

Adding to 22261416 its reverse (61416222), we get a palindrome (83677638).

The spelling of 22261416 in words is "twenty-two million, two hundred sixty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 239 478 717 956 1434 1912 2868 3881 5736 7762 11643 15524 23286 31048 46572 93144 927559 1855118 2782677 3710236 5565354 7420472 11130708 22261416