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810022140 = 223351500041
BaseRepresentation
bin110000010001111…
…111010011111100
32002110012101111000
4300101333103330
53124331202030
6212213330300
726034034404
oct6021772374
92073171430
10810022140
11386266694
121a7336990
13cba81855
1479817804
154b1a6860
hex3047f4fc

810022140 has 48 divisors (see below), whose sum is σ = 2520070560. Its totient is φ = 216005760.

The previous prime is 810022139. The next prime is 810022153. The reversal of 810022140 is 41220018.

It is a super-2 number, since 2×8100221402 = 1312271734580359200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

810022140 is a modest number, since divided by 22140 gives 8100 as remainder.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 749481 + ... + 750560.

It is an arithmetic number, because the mean of its divisors is an integer number (52501470).

Almost surely, 2810022140 is an apocalyptic number.

It is an amenable number.

810022140 is an abundant number, since it is smaller than the sum of its proper divisors (1710048420).

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

810022140 is a wasteful number, since it uses less digits than its factorization.

810022140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500059 (or 1500051 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 810022140 is about 28460.8878990098. The cubic root of 810022140 is about 932.1782448110.

Adding to 810022140 its reverse (41220018), we get a palindrome (851242158).

The spelling of 810022140 in words is "eight hundred ten million, twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1500041 3000082 4500123 6000164 7500205 9000246 13500369 15000410 18000492 22500615 27000738 30000820 40501107 45001230 54001476 67501845 81002214 90002460 135003690 162004428 202505535 270007380 405011070 810022140