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2133122440 = 235431123731
BaseRepresentation
bin111111100100100…
…1101110110001000
312111122211211212211
41333021031312020
513332034404230
6551400114504
7103601145601
oct17711156610
95448754784
102133122440
119a5101509
124b6465a34
1327cc17137
1416342cda8
15c740b42a
hex7f24dd88

2133122440 has 32 divisors (see below), whose sum is σ = 4810700160. Its totient is φ = 851262400.

The previous prime is 2133122437. The next prime is 2133122449. The reversal of 2133122440 is 442213312.

It is a super-2 number, since 2×21331224402 = 9100422688063107200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2133122449) 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 7 ways as a sum of consecutive naturals, for example, 44626 + ... + 79105.

It is an arithmetic number, because the mean of its divisors is an integer number (150334380).

Almost surely, 22133122440 is an apocalyptic number.

2133122440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133122440 is an abundant number, since it is smaller than the sum of its proper divisors (2677577720).

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

2133122440 is a wasteful number, since it uses less digits than its factorization.

2133122440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124173 (or 124169 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2133122440 is about 46185.7384914434. The cubic root of 2133122440 is about 1287.2767582274.

Adding to 2133122440 its reverse (442213312), we get a palindrome (2575335752).

The spelling of 2133122440 in words is "two billion, one hundred thirty-three million, one hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 431 862 1724 2155 3448 4310 8620 17240 123731 247462 494924 618655 989848 1237310 2474620 4949240 53328061 106656122 213312244 266640305 426624488 533280610 1066561220 2133122440