Search a number
-
+
2241003444 = 2231719755763
BaseRepresentation
bin1000010110010010…
…1111111110110100
312210011211202210120
42011210233332310
514042144102234
61010212251540
7106351133511
oct20544577664
95704752716
102241003444
11a4aa96069
12526610bb0
13299389b54
141738b2308
15d1b1b049
hex8592ffb4

2241003444 has 48 divisors (see below), whose sum is σ = 5564801088. Its totient is φ = 699478528.

The previous prime is 2241003439. The next prime is 2241003463. The reversal of 2241003444 is 4443001422.

It is a happy number.

It is a super-2 number, since 2×22410034442 = 10044192872039722272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12307 + ... + 68069.

It is an arithmetic number, because the mean of its divisors is an integer number (115933356).

Almost surely, 22241003444 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 2241003444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782400544).

2241003444 is an abundant number, since it is smaller than the sum of its proper divisors (3323797644).

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

2241003444 is a wasteful number, since it uses less digits than its factorization.

2241003444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55984 (or 55982 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2241003444 is about 47339.2378899365. The cubic root of 2241003444 is about 1308.6218718052.

Adding to 2241003444 its reverse (4443001422), we get a palindrome (6684004866).

The spelling of 2241003444 in words is "two billion, two hundred forty-one million, three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 197 204 394 591 788 1182 2364 3349 6698 10047 13396 20094 40188 55763 111526 167289 223052 334578 669156 947971 1895942 2843913 3791884 5687826 10985311 11375652 21970622 32955933 43941244 65911866 131823732 186750287 373500574 560250861 747001148 1120501722 2241003444