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2244214104 = 2331127271063
BaseRepresentation
bin1000010111000011…
…1111110101011000
312210101212212222220
42011300333311120
514044004322404
61010405144040
7106420335156
oct20560776530
95711785886
102244214104
11a51889300
125276bb020
13299c42352
141740aa3d6
15d20524d9
hex85c3fd58

2244214104 has 96 divisors (see below), whose sum is σ = 6181244160. Its totient is φ = 678490560.

The previous prime is 2244214103. The next prime is 2244214117. The reversal of 2244214104 is 4014124422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244214103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2110677 + ... + 2111739.

It is an arithmetic number, because the mean of its divisors is an integer number (64387960).

Almost surely, 22244214104 is an apocalyptic number.

2244214104 is a gapful number since it is divisible by the number (24) 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 2244214104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090622080).

2244214104 is an abundant number, since it is smaller than the sum of its proper divisors (3937030056).

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

2244214104 is a wasteful number, since it uses less digits than its factorization.

2244214104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2244214104 is about 47373.1369448974. The cubic root of 2244214104 is about 1309.2465227856.

Adding to 2244214104 its reverse (4014124422), we get a palindrome (6258338526).

The spelling of 2244214104 in words is "two billion, two hundred forty-four million, two hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 727 968 1063 1452 1454 2126 2181 2904 2908 3189 4252 4362 5816 6378 7997 8504 8724 11693 12756 15994 17448 23386 23991 25512 31988 35079 46772 47982 63976 70158 87967 93544 95964 128623 140316 175934 191928 257246 263901 280632 351868 385869 514492 527802 703736 771738 772801 1028984 1055604 1543476 1545602 2111208 2318403 3086952 3091204 4636806 6182408 8500811 9273612 17001622 18547224 25502433 34003244 51004866 68006488 93508921 102009732 187017842 204019464 280526763 374035684 561053526 748071368 1122107052 2244214104