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220002112 = 26114761109
BaseRepresentation
bin11010001110011…
…11011101000000
3120022222021011101
431013033131000
5422310031422
633455224144
75310662401
oct1507173500
9508867141
10220002112
11103204930
1261818054
133676b685
142130b9a8
15144aac27
hexd1cf740

220002112 has 112 divisors (see below), whose sum is σ = 498896640. Its totient is φ = 95385600.

The previous prime is 220002109. The next prime is 220002119. The reversal of 220002112 is 211200022.

220002112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220002119) 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, 2018314 + ... + 2018422.

Almost surely, 2220002112 is an apocalyptic number.

220002112 is a gapful number since it is divisible by the number (22) 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 220002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249448320).

220002112 is an abundant number, since it is smaller than the sum of its proper divisors (278894528).

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

220002112 is a wasteful number, since it uses less digits than its factorization.

220002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 220002112 is about 14832.4681695259. The cubic root of 220002112 is about 603.6830054530.

Adding to 220002112 its reverse (211200022), we get a palindrome (431202134).

The spelling of 220002112 in words is "two hundred twenty million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 47 61 64 88 94 109 122 176 188 218 244 352 376 436 488 517 671 704 752 872 976 1034 1199 1342 1504 1744 1952 2068 2398 2684 2867 3008 3488 3904 4136 4796 5123 5368 5734 6649 6976 8272 9592 10246 10736 11468 13298 16544 19184 20492 21472 22936 26596 31537 33088 38368 40984 42944 45872 53192 56353 63074 73139 76736 81968 91744 106384 112706 126148 146278 163936 183488 212768 225412 252296 292556 312503 327872 425536 450824 504592 585112 625006 901648 1009184 1170224 1250012 1803296 2018368 2340448 2500024 3437533 3606592 4680896 5000048 6875066 10000096 13750132 20000192 27500264 55000528 110001056 220002112