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22071000 = 2335371051
BaseRepresentation
bin101010000110…
…0011011011000
31112112022201110
41110030123120
521122233000
62105020320
7355412640
oct124143330
945468643
1022071000
11115052a6
1274846a0
134759c83
142d07520
151e0e850
hex150c6d8

22071000 has 128 divisors (see below), whose sum is σ = 78773760. Its totient is φ = 5040000.

The previous prime is 22070999. The next prime is 22071017. The reversal of 22071000 is 17022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20475 + ... + 21525.

It is an arithmetic number, because the mean of its divisors is an integer number (615420).

Almost surely, 222071000 is an apocalyptic number.

22071000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22071000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39386880).

22071000 is an abundant number, since it is smaller than the sum of its proper divisors (56702760).

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

22071000 is a wasteful number, since it uses less digits than its factorization.

22071000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 22071000 is about 4697.9782885833. The cubic root of 22071000 is about 280.5050408822.

Adding to 22071000 its reverse (17022), we get a palindrome (22088022).

The spelling of 22071000 in words is "twenty-two million, seventy-one thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1051 1400 1500 1750 2100 2102 2625 3000 3153 3500 4200 4204 5250 5255 6306 7000 7357 8408 10500 10510 12612 14714 15765 21000 21020 22071 25224 26275 29428 31530 36785 42040 44142 52550 58856 63060 73570 78825 88284 105100 110355 126120 131375 147140 157650 176568 183925 210200 220710 262750 294280 315300 367850 394125 441420 525500 551775 630600 735700 788250 882840 919625 1051000 1103550 1471400 1576500 1839250 2207100 2758875 3153000 3678500 4414200 5517750 7357000 11035500 22071000