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2133434440 = 235531006337
BaseRepresentation
bin111111100101001…
…1010000001001000
312111200102200212101
41333022122001020
513332124400230
6551410523144
7103603615324
oct17712320110
95450380771
102133434440
119a52a4965
124b65964b4
1327ccc6157
141634b0984
15c746daca
hex7f29a048

2133434440 has 32 divisors (see below), whose sum is σ = 4890802680. Its totient is φ = 837271552.

The previous prime is 2133434423. The next prime is 2133434441. The reversal of 2133434440 is 444343312.

It can be written as a sum of positive squares in 4 ways, for example, as 1845046116 + 288388324 = 42954^2 + 16982^2 .

It is a super-2 number, since 2×21334344402 = 9103085019556227200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2133434399 and 2133434408.

It is not an unprimeable number, because it can be changed into a prime (2133434441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 501049 + ... + 505288.

Almost surely, 22133434440 is an apocalyptic number.

2133434440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133434440 is an abundant number, since it is smaller than the sum of its proper divisors (2757368240).

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

2133434440 is a wasteful number, since it uses less digits than its factorization.

2133434440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006401 (or 1006397 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 2133434440 is about 46189.1160339749. The cubic root of 2133434440 is about 1287.3395161140.

Adding to 2133434440 its reverse (444343312), we get a palindrome (2577777752).

The spelling of 2133434440 in words is "two billion, one hundred thirty-three million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 1006337 2012674 4025348 5031685 8050696 10063370 20126740 40253480 53335861 106671722 213343444 266679305 426686888 533358610 1066717220 2133434440