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2005140522 = 237114340131
BaseRepresentation
bin111011110000100…
…0000010000101010
312011202000200200210
41313201000100222
513101303444042
6530545041550
7100455261510
oct16741002052
95152020623
102005140522
11939938830
1247b6262b6
1325c5570a8
141504364b0
15bb07aa9c
hex7784042a

2005140522 has 32 divisors (see below), whose sum is σ = 4999832064. Its totient is φ = 520815600.

The previous prime is 2005140521. The next prime is 2005140523. The reversal of 2005140522 is 2250415002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2005140521) and next prime (2005140523).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2005140521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2169604 + ... + 2170527.

It is an arithmetic number, because the mean of its divisors is an integer number (156244752).

Almost surely, 22005140522 is an apocalyptic number.

2005140522 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2005140522 is an abundant number, since it is smaller than the sum of its proper divisors (2994691542).

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

2005140522 is a wasteful number, since it uses less digits than its factorization.

2005140522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4340154.

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 2005140522 is about 44778.7954505255. The cubic root of 2005140522 is about 1260.9995683765. Note that the first 3 decimals are identical.

Adding to 2005140522 its reverse (2250415002), we get a palindrome (4255555524).

The spelling of 2005140522 in words is "two billion, five million, one hundred forty thousand, five hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 4340131 8680262 13020393 26040786 30380917 47741441 60761834 91142751 95482882 143224323 182285502 286448646 334190087 668380174 1002570261 2005140522