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2133544240 = 24526669303
BaseRepresentation
bin111111100101011…
…0100110100110000
312111200122021111001
41333022310310300
513332141403430
6551413131344
7103604553412
oct17712646460
95450567431
102133544240
119a536a403
124b6629b54
13280034119
141634dc9b2
15c74913ca
hex7f2b4d30

2133544240 has 20 divisors (see below), whose sum is σ = 4960490544. Its totient is φ = 853417664.

The previous prime is 2133544211. The next prime is 2133544241. The reversal of 2133544240 is 424453312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×21335442402 = 9104022048074355200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2133544199 and 2133544208.

It is not an unprimeable number, because it can be changed into a prime (2133544241) 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 3 ways as a sum of consecutive naturals, for example, 13334572 + ... + 13334731.

Almost surely, 22133544240 is an apocalyptic number.

2133544240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133544240 is an abundant number, since it is smaller than the sum of its proper divisors (2826946304).

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

2133544240 is a wasteful number, since it uses less digits than its factorization.

2133544240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26669316 (or 26669310 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 2133544240 is about 46190.3046103833. The cubic root of 2133544240 is about 1287.3616006070.

Adding to 2133544240 its reverse (424453312), we get a palindrome (2557997552).

It can be divided in two parts, 213 and 3544240, that added together give a palindrome (3544453).

The spelling of 2133544240 in words is "two billion, one hundred thirty-three million, five hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26669303 53338606 106677212 133346515 213354424 266693030 426708848 533386060 1066772120 2133544240