Search a number
-
+
2201148 = 223389229
BaseRepresentation
bin1000011001011000111100
311010211102000
420121120330
51030414043
6115102300
724465225
oct10313074
94124360
102201148
111273834
128a1990
135c0b71
1441424c
152d72d3
hex21963c

2201148 has 48 divisors (see below), whose sum is σ = 5796000. Its totient is φ = 722304.

The previous prime is 2201137. The next prime is 2201149. The reversal of 2201148 is 8411022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2201148.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201149) 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, 9498 + ... + 9726.

It is an arithmetic number, because the mean of its divisors is an integer number (120750).

22201148 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 2201148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2898000).

2201148 is an abundant number, since it is smaller than the sum of its proper divisors (3594852).

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

2201148 is a wasteful number, since it uses less digits than its factorization.

2201148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2201148 is about 1483.6266376687. The cubic root of 2201148 is about 130.0817631602.

The spelling of 2201148 in words is "two million, two hundred one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 89 108 178 229 267 356 458 534 687 801 916 1068 1374 1602 2061 2403 2748 3204 4122 4806 6183 8244 9612 12366 20381 24732 40762 61143 81524 122286 183429 244572 366858 550287 733716 1100574 2201148