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4228840 = 2357111373
BaseRepresentation
bin10000001000011011101000
321221211212201
4100020123220
52040310330
6230345544
750641660
oct20103350
97854781
104228840
112429210
1214bb2b4
13b50a95
147c11a0
15587eca
hex4086e8

4228840 has 64 divisors (see below), whose sum is σ = 11871360. Its totient is φ = 1317120.

The previous prime is 4228837. The next prime is 4228843. The reversal of 4228840 is 488224.

It is an interprime number because it is at equal distance from previous prime (4228837) and next prime (4228843).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4228799 and 4228808.

It is not an unprimeable number, because it can be changed into a prime (4228843) 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, 2394 + ... + 3766.

It is an arithmetic number, because the mean of its divisors is an integer number (185490).

Almost surely, 24228840 is an apocalyptic number.

4228840 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 4228840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5935680).

4228840 is an abundant number, since it is smaller than the sum of its proper divisors (7642520).

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

4228840 is a wasteful number, since it uses less digits than its factorization.

4228840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 4228840 is about 2056.4143551337. The cubic root of 4228840 is about 161.7113184252.

It can be divided in two parts, 42 and 28840, that added together give a palindrome (28882).

The spelling of 4228840 in words is "four million, two hundred twenty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1373 1540 2746 3080 5492 6865 9611 10984 13730 15103 19222 27460 30206 38444 48055 54920 60412 75515 76888 96110 105721 120824 151030 192220 211442 302060 384440 422884 528605 604120 845768 1057210 2114420 4228840