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4222000 = 24532111
BaseRepresentation
bin10000000110110000110000
321221111111101
4100012300300
52040101000
6230254144
750613016
oct20066060
97844441
104222000
112424062
1214b7354
13b4a933
147bc8b6
15585e6a
hex406c30

4222000 has 40 divisors (see below), whose sum is σ = 10213632. Its totient is φ = 1688000.

The previous prime is 4221989. The next prime is 4222003. The reversal of 4222000 is 2224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (4222003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 945 + ... + 3055.

Almost surely, 24222000 is an apocalyptic number.

4222000 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 4222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5106816).

4222000 is an abundant number, since it is smaller than the sum of its proper divisors (5991632).

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

4222000 is a wasteful number, since it uses less digits than its factorization.

4222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 2118 counting only the distinct ones).

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

The square root of 4222000 is about 2054.7505931378. The cubic root of 4222000 is about 161.6240839183.

Adding to 4222000 its reverse (2224), we get a palindrome (4224224).

The spelling of 4222000 in words is "four million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2111 4222 8444 10555 16888 21110 33776 42220 52775 84440 105550 168880 211100 263875 422200 527750 844400 1055500 2111000 4222000