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2244312032 = 25238336739
BaseRepresentation
bin1000010111000101…
…0111101111100000
312210102001212022212
42011301113233200
514044020441112
61010411221252
7106421223524
oct20561275740
95712055285
102244312032
11a51945936
12527747828
13299c77ab1
141740d3d84
15d2071522
hex85c57be0

2244312032 has 48 divisors (see below), whose sum is σ = 4666273920. Its totient is φ = 1060405632.

The previous prime is 2244312023. The next prime is 2244312047. The reversal of 2244312032 is 2302134422.

2244312032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 2244311989 and 2244312007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42719 + ... + 79457.

It is an arithmetic number, because the mean of its divisors is an integer number (97214040).

Almost surely, 22244312032 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 2244312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333136960).

2244312032 is an abundant number, since it is smaller than the sum of its proper divisors (2421961888).

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

2244312032 is a wasteful number, since it uses less digits than its factorization.

2244312032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36855 (or 36847 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2244312032 is about 47374.1705151658. The cubic root of 2244312032 is about 1309.2655658333.

Adding to 2244312032 its reverse (2302134422), we get a palindrome (4546446454).

The spelling of 2244312032 in words is "two billion, two hundred forty-four million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 23 32 46 83 92 166 184 332 368 664 736 1328 1909 2656 3818 7636 15272 30544 36739 61088 73478 146956 293912 587824 844997 1175648 1689994 3049337 3379988 6098674 6759976 12197348 13519952 24394696 27039904 48789392 70134751 97578784 140269502 280539004 561078008 1122156016 2244312032