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4022000 = 24532011
BaseRepresentation
bin1111010101111011110000
321120100010222
433111323300
52012201000
6222112212
746120643
oct17257360
97510128
104022000
1122a7874
12141b668
13aaa8a8
14769a5a
15546a85
hex3d5ef0

4022000 has 40 divisors (see below), whose sum is σ = 9730032. Its totient is φ = 1608000.

The previous prime is 4021973. The next prime is 4022003. The reversal of 4022000 is 2204.

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 (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 995 + ... + 3005.

Almost surely, 24022000 is an apocalyptic number.

4022000 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 4022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4865016).

4022000 is an abundant number, since it is smaller than the sum of its proper divisors (5708032).

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

4022000 is a wasteful number, since it uses less digits than its factorization.

4022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 4022000 is about 2005.4924582257. The cubic root of 4022000 is about 159.0305968042.

Adding to 4022000 its reverse (2204), we get a palindrome (4024204).

The spelling of 4022000 in words is "four million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2011 4022 8044 10055 16088 20110 32176 40220 50275 80440 100550 160880 201100 251375 402200 502750 804400 1005500 2011000 4022000