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4422000 = 243531167
BaseRepresentation
bin10000110111100101110000
322022122211210
4100313211300
52113001000
6234440120
752405062
oct20674560
98278753
104422000
112550350
121593040
13bba98b
14831732
155c5350
hex437970

4422000 has 160 divisors (see below), whose sum is σ = 15784704. Its totient is φ = 1056000.

The previous prime is 4421999. The next prime is 4422017. The reversal of 4422000 is 2244.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

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, 65967 + ... + 66033.

Almost surely, 24422000 is an apocalyptic number.

4422000 is a gapful number since it is divisible by the number (40) 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 4422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7892352).

4422000 is an abundant number, since it is smaller than the sum of its proper divisors (11362704).

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

4422000 is a wasteful number, since it uses less digits than its factorization.

4422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 4422000 is about 2102.8552018625. The cubic root of 4422000 is about 164.1369072920.

Adding to 4422000 its reverse (2244), we get a palindrome (4424244).

It can be divided in two parts, 442 and 2000, that added together give a palindrome (2442).

The spelling of 4422000 in words is "four million, four hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 67 75 80 88 100 110 120 125 132 134 150 165 176 200 201 220 240 250 264 268 275 300 330 335 375 400 402 440 500 528 536 550 600 660 670 737 750 804 825 880 1000 1005 1072 1100 1200 1320 1340 1375 1474 1500 1608 1650 1675 2000 2010 2200 2211 2640 2680 2750 2948 3000 3216 3300 3350 3685 4020 4125 4400 4422 5025 5360 5500 5896 6000 6600 6700 7370 8040 8250 8375 8844 10050 11000 11055 11792 13200 13400 14740 16080 16500 16750 17688 18425 20100 22000 22110 25125 26800 29480 33000 33500 35376 36850 40200 44220 50250 55275 58960 66000 67000 73700 80400 88440 92125 100500 110550 134000 147400 176880 184250 201000 221100 276375 294800 368500 402000 442200 552750 737000 884400 1105500 1474000 2211000 4422000