Search a number
-
+
2201892 = 2237112383
BaseRepresentation
bin1000011001100100100100
311010212102120
420121210210
51030430032
6115105540
724500340
oct10314444
94125376
102201892
111274350
128a22b0
135c12c4
14414620
152d762c
hex219924

2201892 has 48 divisors (see below), whose sum is σ = 6408192. Its totient is φ = 571680.

The previous prime is 2201839. The next prime is 2201897. The reversal of 2201892 is 2981022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201897) 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, 268 + ... + 2115.

It is an arithmetic number, because the mean of its divisors is an integer number (133504).

22201892 is an apocalyptic number.

2201892 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204096).

2201892 is an abundant number, since it is smaller than the sum of its proper divisors (4206300).

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

2201892 is a wasteful number, since it uses less digits than its factorization.

2201892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2201892 is about 1483.8773534224. The cubic root of 2201892 is about 130.0964176237.

It can be divided in two parts, 220 and 1892, that added together give a palindrome (2112).

The spelling of 2201892 in words is "two million, two hundred one thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 2383 4766 7149 9532 14298 16681 26213 28596 33362 50043 52426 66724 78639 100086 104852 157278 183491 200172 314556 366982 550473 733964 1100946 2201892