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220040112 = 24317416577
BaseRepresentation
bin11010001110110…
…00101110110000
3120100001012021210
431013120232300
5422312240422
633500120120
75311211235
oct1507305660
9510035253
10220040112
11103230436
1261836040
1336782a66
142131b78c
15144b710c
hexd1d8bb0

220040112 has 80 divisors (see below), whose sum is σ = 616648032. Its totient is φ = 67338240.

The previous prime is 220040111. The next prime is 220040113. The reversal of 220040112 is 211040022.

220040112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220040111) and next prime (220040113).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (220040111) 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, 30168 + ... + 36744.

Almost surely, 2220040112 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 220040112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308324016).

220040112 is an abundant number, since it is smaller than the sum of its proper divisors (396607920).

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

220040112 is a wasteful number, since it uses less digits than its factorization.

220040112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6646 (or 6640 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 220040112 is about 14833.7490878065. The cubic root of 220040112 is about 603.7177606248.

Adding to 220040112 its reverse (211040022), we get a palindrome (431080134).

The spelling of 220040112 in words is "two hundred twenty million, forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 41 48 51 68 82 102 123 136 164 204 246 272 328 408 492 656 697 816 984 1394 1968 2091 2788 4182 5576 6577 8364 11152 13154 16728 19731 26308 33456 39462 52616 78924 105232 111809 157848 223618 269657 315696 335427 447236 539314 670854 808971 894472 1078628 1341708 1617942 1788944 2157256 2683416 3235884 4314512 4584169 5366832 6471768 9168338 12943536 13752507 18336676 27505014 36673352 55010028 73346704 110020056 220040112