Search a number
-
+
2241612 = 223271877
BaseRepresentation
bin1000100011010001001100
311012212220200
420203101030
51033212422
6120013500
725024212
oct10432114
94185820
102241612
1112a117a
12901290
136063c9
14424cb2
152e42ac
hex22344c

2241612 has 36 divisors (see below), whose sum is σ = 5752656. Its totient is φ = 735840.

The previous prime is 2241607. The next prime is 2241667. The reversal of 2241612 is 2161422.

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

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

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 16.

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, 2118 + ... + 2994.

It is an arithmetic number, because the mean of its divisors is an integer number (159796).

22241612 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 2241612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876328).

2241612 is an abundant number, since it is smaller than the sum of its proper divisors (3511044).

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

2241612 is a wasteful number, since it uses less digits than its factorization.

2241612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 953 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2241612 is about 1497.2013892593. The cubic root of 2241612 is about 130.8740315416.

The spelling of 2241612 in words is "two million, two hundred forty-one thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 877 1278 1754 2556 2631 3508 5262 7893 10524 15786 31572 62267 124534 186801 249068 373602 560403 747204 1120806 2241612