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4226280 = 233541859
BaseRepresentation
bin10000000111110011101000
321221201100220
4100013303220
52040220110
6230330040
750631342
oct20076350
97851326
104226280
1124272a3
1214b9920
13b4c876
147c0292
15587370
hex407ce8

4226280 has 64 divisors (see below), whose sum is σ = 13003200. Its totient is φ = 1098240.

The previous prime is 4226279. The next prime is 4226281. The reversal of 4226280 is 826224.

It is an interprime number because it is at equal distance from previous prime (4226279) and next prime (4226281).

It is a super-2 number, since 2×42262802 = 35722885276800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4226280.

It is not an unprimeable number, because it can be changed into a prime (4226281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4491 + ... + 5349.

It is an arithmetic number, because the mean of its divisors is an integer number (203175).

Almost surely, 24226280 is an apocalyptic number.

4226280 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 4226280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6501600).

4226280 is an abundant number, since it is smaller than the sum of its proper divisors (8776920).

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

4226280 is a wasteful number, since it uses less digits than its factorization.

4226280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4226280 is about 2055.7918182540. The cubic root of 4226280 is about 161.6786802754.

The spelling of 4226280 in words is "four million, two hundred twenty-six thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 859 984 1230 1640 1718 2460 2577 3436 4295 4920 5154 6872 8590 10308 12885 17180 20616 25770 34360 35219 51540 70438 103080 105657 140876 176095 211314 281752 352190 422628 528285 704380 845256 1056570 1408760 2113140 4226280