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22204416 = 212313139
BaseRepresentation
bin101010010110…
…1000000000000
31112210002201210
41110231000000
521141020131
62111530120
7356506623
oct124550000
945702653
1022204416
1111596563
127529940
1347a5910
142d3ddba
151e39146
hex152d000

22204416 has 104 divisors (see below), whose sum is σ = 64217440. Its totient is φ = 6782976.

The previous prime is 22204381. The next prime is 22204417. The reversal of 22204416 is 61440222.

It is a tau number, because it is divible by the number of its divisors (104).

It is a junction number, because it is equal to n+sod(n) for n = 22204392 and 22204401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22204417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159675 + ... + 159813.

Almost surely, 222204416 is an apocalyptic number.

22204416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22204416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32108720).

22204416 is an abundant number, since it is smaller than the sum of its proper divisors (42013024).

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

22204416 is a wasteful number, since it uses less digits than its factorization.

22204416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 22204416 is about 4712.1561943552. The cubic root of 22204416 is about 281.0691099545.

Adding to 22204416 its reverse (61440222), we get a palindrome (83644638).

The spelling of 22204416 in words is "twenty-two million, two hundred four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 139 156 192 208 256 278 312 384 416 417 512 556 624 768 832 834 1024 1112 1248 1536 1664 1668 1807 2048 2224 2496 3072 3328 3336 3614 4096 4448 4992 5421 6144 6656 6672 7228 8896 9984 10842 12288 13312 13344 14456 17792 19968 21684 26624 26688 28912 35584 39936 43368 53248 53376 57824 71168 79872 86736 106752 115648 142336 159744 173472 213504 231296 284672 346944 427008 462592 569344 693888 854016 925184 1387776 1708032 1850368 2775552 3700736 5551104 7401472 11102208 22204416