Search a number
-
+
2201112 = 2332191609
BaseRepresentation
bin1000011001011000011000
311010211100200
420121120120
51030413422
6115102200
724465144
oct10313030
94124320
102201112
111273801
128a1960
135c0b44
14414224
152d72ac
hex219618

2201112 has 48 divisors (see below), whose sum is σ = 6279000. Its totient is φ = 694656.

The previous prime is 2201107. The next prime is 2201119. The reversal of 2201112 is 2111022.

Adding to 2201112 its reverse (2111022), we get a palindrome (4312134).

2201112 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2201094 and 2201103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 564 + ... + 2172.

22201112 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 2201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139500).

2201112 is an abundant number, since it is smaller than the sum of its proper divisors (4077888).

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

2201112 is a wasteful number, since it uses less digits than its factorization.

2201112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2201112 is about 1483.6145051866. The cubic root of 2201112 is about 130.0810539895.

The spelling of 2201112 in words is "two million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 1609 3218 4827 6436 9654 12872 14481 19308 28962 30571 38616 57924 61142 91713 115848 122284 183426 244568 275139 366852 550278 733704 1100556 2201112