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22606116 = 22313271157
BaseRepresentation
bin101011000111…
…1000100100100
31120112111202120
41112033010210
521241343431
62124305540
7363102021
oct126170444
946474676
1022606116
1111840345
1276a22b0
1348b6700
143006548
151eb8196
hex158f124

22606116 has 72 divisors (see below), whose sum is σ = 58290624. Its totient is φ = 6814080.

The previous prime is 22606093. The next prime is 22606121. The reversal of 22606116 is 61160622.

It is a super-2 number, since 2×226061162 = 1022072961210912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143910 + ... + 144066.

It is an arithmetic number, because the mean of its divisors is an integer number (809592).

Almost surely, 222606116 is an apocalyptic number.

22606116 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 22606116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29145312).

22606116 is an abundant number, since it is smaller than the sum of its proper divisors (35684508).

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

22606116 is a wasteful number, since it uses less digits than its factorization.

22606116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 22606116 is about 4754.5889412230. The cubic root of 22606116 is about 282.7539304514.

Adding to 22606116 its reverse (61160622), we get a palindrome (83766738).

It can be divided in two parts, 22606 and 116, that added together give a palindrome (22722).

The spelling of 22606116 in words is "twenty-two million, six hundred six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 71 78 142 156 157 169 213 284 314 338 426 471 507 628 676 852 923 942 1014 1846 1884 2028 2041 2769 3692 4082 5538 6123 8164 11076 11147 11999 12246 22294 23998 24492 26533 33441 35997 44588 47996 53066 66882 71994 79599 106132 133764 143988 144911 159198 289822 318396 434733 579644 869466 1738932 1883843 3767686 5651529 7535372 11303058 22606116