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221150112 = 25313916573
BaseRepresentation
bin11010010111001…
…11101110100000
3120102010120220220
431023213232200
5423103300422
633540003040
75323513341
oct1513475640
9512116826
10221150112
11103919397
1262090480
1336a81071
142152a0c8
1514635e5c
hexd2e7ba0

221150112 has 48 divisors (see below), whose sum is σ = 584730720. Its totient is φ = 73181952.

The previous prime is 221150107. The next prime is 221150117. The reversal of 221150112 is 211051122.

It is an interprime number because it is at equal distance from previous prime (221150107) and next prime (221150117).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2211501122 = 97814744075225088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221150091 and 221150100.

It is not an unprimeable number, because it can be changed into a prime (221150117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5058 + ... + 21630.

It is an arithmetic number, because the mean of its divisors is an integer number (12181890).

Almost surely, 2221150112 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 221150112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292365360).

221150112 is an abundant number, since it is smaller than the sum of its proper divisors (363580608).

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

221150112 is a wasteful number, since it uses less digits than its factorization.

221150112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16725 (or 16717 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 221150112 is about 14871.1167031935. The cubic root of 221150112 is about 604.7312168074.

The spelling of 221150112 in words is "two hundred twenty-one million, one hundred fifty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 278 417 556 834 1112 1668 2224 3336 4448 6672 13344 16573 33146 49719 66292 99438 132584 198876 265168 397752 530336 795504 1591008 2303647 4607294 6910941 9214588 13821882 18429176 27643764 36858352 55287528 73716704 110575056 221150112