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22404116 = 22719231831
BaseRepresentation
bin101010101110…
…1110000010100
31120011020200002
41111131300110
521213412431
62120110432
7361301060
oct125356024
946136602
1022404116
11117125a9
127605418
134845797
142d92aa0
151e783cb
hex155dc14

22404116 has 48 divisors (see below), whose sum is σ = 49244160. Its totient is φ = 8696160.

The previous prime is 22404091. The next prime is 22404119. The reversal of 22404116 is 61140422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22404119) 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, 11321 + ... + 13151.

It is an arithmetic number, because the mean of its divisors is an integer number (1025920).

Almost surely, 222404116 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 22404116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24622080).

22404116 is an abundant number, since it is smaller than the sum of its proper divisors (26840044).

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

22404116 is a wasteful number, since it uses less digits than its factorization.

22404116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 22404116 is about 4733.2986383705. The cubic root of 22404116 is about 281.9092141071.

Adding to 22404116 its reverse (61140422), we get a palindrome (83544538).

The spelling of 22404116 in words is "twenty-two million, four hundred four thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 19 23 28 38 46 76 92 133 161 266 322 437 532 644 874 1748 1831 3059 3662 6118 7324 12236 12817 25634 34789 42113 51268 69578 84226 139156 168452 243523 294791 487046 589582 800147 974092 1179164 1600294 3200588 5601029 11202058 22404116