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4222160 = 24589593
BaseRepresentation
bin10000000110110011010000
321221111201022
4100012303100
52040102120
6230255012
750613335
oct20066320
97844638
104222160
112424198
1214b7468
13b4aa27
147bc98c
15586025
hex406cd0

4222160 has 40 divisors (see below), whose sum is σ = 9943560. Its totient is φ = 1667072.

The previous prime is 4222117. The next prime is 4222177. The reversal of 4222160 is 612224.

It can be written as a sum of positive squares in 4 ways, for example, as 190096 + 4032064 = 436^2 + 2008^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6824 + ... + 7416.

It is an arithmetic number, because the mean of its divisors is an integer number (248589).

Almost surely, 24222160 is an apocalyptic number.

4222160 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 4222160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4971780).

4222160 is an abundant number, since it is smaller than the sum of its proper divisors (5721400).

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

4222160 is a wasteful number, since it uses less digits than its factorization.

4222160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4222160 is about 2054.7895269346. The cubic root of 4222160 is about 161.6261255673.

Adding to 4222160 its reverse (612224), we get a palindrome (4834384).

The spelling of 4222160 in words is "four million, two hundred twenty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 593 712 890 1186 1424 1780 2372 2965 3560 4744 5930 7120 9488 11860 23720 47440 52777 105554 211108 263885 422216 527770 844432 1055540 2111080 4222160