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222000114 = 237311671021
BaseRepresentation
bin11010011101101…
…11001111110010
3120110201202220110
431032313033302
5423313000424
634010122150
75333653440
oct1516671762
9513652813
10222000114
11104349a76
1262420356
1336cbac1b
14216abb90
1514752c29
hexd3b73f2

222000114 has 64 divisors (see below), whose sum is σ = 527450112. Its totient is φ = 60955200.

The previous prime is 222000113. The next prime is 222000131. The reversal of 222000114 is 411000222.

222000114 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 222000114.

It is not an unprimeable number, because it can be changed into a prime (222000113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216924 + ... + 217944.

It is an arithmetic number, because the mean of its divisors is an integer number (8241408).

Almost surely, 2222000114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222000114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263725056).

222000114 is an abundant number, since it is smaller than the sum of its proper divisors (305449998).

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

222000114 is a wasteful number, since it uses less digits than its factorization.

222000114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231.

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

The square root of 222000114 is about 14899.6682513404. The cubic root of 222000114 is about 605.5049982961.

Adding to 222000114 its reverse (411000222), we get a palindrome (633000336).

The spelling of 222000114 in words is "two hundred twenty-two million, one hundred fourteen", and thus it is an aban number.

Divisors: 1 2 3 6 7 14 21 31 42 62 93 167 186 217 334 434 501 651 1002 1021 1169 1302 2042 2338 3063 3507 5177 6126 7014 7147 10354 14294 15531 21441 31062 31651 36239 42882 63302 72478 94953 108717 170507 189906 217434 221557 341014 443114 511521 664671 1023042 1193549 1329342 2387098 3580647 5285717 7161294 10571434 15857151 31714302 37000019 74000038 111000057 222000114