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2123444032 = 26291637019
BaseRepresentation
bin111111010010001…
…0010111101000000
312110222122010121021
41332210102331000
513322100202112
6550412435224
7103422655633
oct17644227500
95428563537
102123444032
1199a6a0a26
124b3178b14
1327ac08a78
1416202dc1a
15c6648907
hex7e912f40

2123444032 has 56 divisors (see below), whose sum is σ = 4386376800. Its totient is φ = 1018676736.

The previous prime is 2123443999. The next prime is 2123444087. The reversal of 2123444032 is 2304443212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2123443988 and 2123444006.

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, 299019 + ... + 306037.

Almost surely, 22123444032 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 2123444032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193188400).

2123444032 is an abundant number, since it is smaller than the sum of its proper divisors (2262932768).

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

2123444032 is a wasteful number, since it uses less digits than its factorization.

2123444032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7223 (or 7213 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 2123444032 is about 46080.8423534119. The cubic root of 2123444032 is about 1285.3269279748.

Adding to 2123444032 its reverse (2304443212), we get a palindrome (4427887244).

The spelling of 2123444032 in words is "two billion, one hundred twenty-three million, four hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 163 232 326 464 652 928 1304 1856 2608 4727 5216 7019 9454 10432 14038 18908 28076 37816 56152 75632 112304 151264 203551 224608 302528 407102 449216 814204 1144097 1628408 2288194 3256816 4576388 6513632 9152776 13027264 18305552 33178813 36611104 66357626 73222208 132715252 265430504 530861008 1061722016 2123444032