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2133444444 = 2231742124841
BaseRepresentation
bin111111100101001…
…1100011101011100
312111200110012120220
41333022130131130
513332130210234
6551411041340
7103603656435
oct17712343534
95450405526
102133444444
119a530142a
124b65a0250
1327ccca881
141634b448c
15c7471a49
hex7f29c75c

2133444444 has 48 divisors (see below), whose sum is σ = 5283595296. Its totient is φ = 667699200.

The previous prime is 2133444413. The next prime is 2133444473. The reversal of 2133444444 is 4444443312.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73464 + ... + 98304.

It is an arithmetic number, because the mean of its divisors is an integer number (110074902).

Almost surely, 22133444444 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 2133444444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641797648).

2133444444 is an abundant number, since it is smaller than the sum of its proper divisors (3150150852).

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

2133444444 is a wasteful number, since it uses less digits than its factorization.

2133444444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25286 (or 25284 counting only the distinct ones).

The product of its digits is 73728, while the sum is 33.

The square root of 2133444444 is about 46189.2243277585. The cubic root of 2133444444 is about 1287.3415282881.

Adding to 2133444444 its reverse (4444443312), we get a palindrome (6577887756).

The spelling of 2133444444 in words is "two billion, one hundred thirty-three million, four hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 421 842 1263 1684 2526 5052 7157 14314 21471 24841 28628 42942 49682 74523 85884 99364 149046 298092 422297 844594 1266891 1689188 2533782 5067564 10458061 20916122 31374183 41832244 62748366 125496732 177787037 355574074 533361111 711148148 1066722222 2133444444