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4224840 = 23351719109
BaseRepresentation
bin10000000111011101001000
321221122101120
4100013131020
52040143330
6230315240
750624214
oct20073510
97848346
104224840
112426204
1214b8b20
13b4c009
147bd944
15586c10
hex407748

4224840 has 128 divisors (see below), whose sum is σ = 14256000. Its totient is φ = 995328.

The previous prime is 4224839. The next prime is 4224851. The reversal of 4224840 is 484224.

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 4224840.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38706 + ... + 38814.

It is an arithmetic number, because the mean of its divisors is an integer number (111375).

Almost surely, 24224840 is an apocalyptic number.

4224840 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 4224840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7128000).

4224840 is an abundant number, since it is smaller than the sum of its proper divisors (10031160).

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

4224840 is a wasteful number, since it uses less digits than its factorization.

4224840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4224840 is about 2055.4415584005. The cubic root of 4224840 is about 161.6603155238.

The spelling of 4224840 in words is "four million, two hundred twenty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 19 20 24 30 34 38 40 51 57 60 68 76 85 95 102 109 114 120 136 152 170 190 204 218 228 255 285 323 327 340 380 408 436 456 510 545 570 646 654 680 760 872 969 1020 1090 1140 1292 1308 1615 1635 1853 1938 2040 2071 2180 2280 2584 2616 3230 3270 3706 3876 4142 4360 4845 5559 6213 6460 6540 7412 7752 8284 9265 9690 10355 11118 12426 12920 13080 14824 16568 18530 19380 20710 22236 24852 27795 31065 35207 37060 38760 41420 44472 49704 55590 62130 70414 74120 82840 105621 111180 124260 140828 176035 211242 222360 248520 281656 352070 422484 528105 704140 844968 1056210 1408280 2112420 4224840