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2422000 = 24537173
BaseRepresentation
bin1001001111010011110000
311120001100201
421033103300
51110001000
6123524544
726405140
oct11172360
94501321
102422000
111404759
12989754
1366a549
14470920
1532c96a
hex24f4f0

2422000 has 80 divisors (see below), whose sum is σ = 6731712. Its totient is φ = 825600.

The previous prime is 2421997. The next prime is 2422027. The reversal of 2422000 is 2242.

It is a happy number.

2422000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (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 15 ways as a sum of consecutive naturals, for example, 13914 + ... + 14086.

22422000 is an apocalyptic number.

2422000 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 2422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365856).

2422000 is an abundant number, since it is smaller than the sum of its proper divisors (4309712).

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

2422000 is a wasteful number, since it uses less digits than its factorization.

2422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 2422000 is about 1556.2776101968. The cubic root of 2422000 is about 134.2944442362.

Adding to 2422000 its reverse (2242), we get a palindrome (2424242).

The spelling of 2422000 in words is "two million, four hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 173 175 200 250 280 346 350 400 500 560 692 700 865 875 1000 1211 1384 1400 1730 1750 2000 2422 2768 2800 3460 3500 4325 4844 6055 6920 7000 8650 9688 12110 13840 14000 17300 19376 21625 24220 30275 34600 43250 48440 60550 69200 86500 96880 121100 151375 173000 242200 302750 346000 484400 605500 1211000 2422000