Search a number
-
+
2224188 = 2232311993
BaseRepresentation
bin1000011111000000111100
311012000000100
420133000330
51032133223
6115401100
724622341
oct10370074
94160010
102224188
11128a07a
128b3190
135cb4b5
1441c7c8
152de043
hex21f03c

2224188 has 36 divisors (see below), whose sum is σ = 5806528. Its totient is φ = 717120.

The previous prime is 2224171. The next prime is 2224193. The reversal of 2224188 is 8814222.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120 + ... + 2112.

22224188 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 2224188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903264).

2224188 is an abundant number, since it is smaller than the sum of its proper divisors (3582340).

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

2224188 is a wasteful number, since it uses less digits than its factorization.

2224188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2029 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 2224188 is about 1491.3711811618. The cubic root of 2224188 is about 130.5340554975.

The spelling of 2224188 in words is "two million, two hundred twenty-four thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 1993 3986 5979 7972 11958 17937 23916 35874 61783 71748 123566 185349 247132 370698 556047 741396 1112094 2224188