Search a number
-
+
2220480 = 26335257
BaseRepresentation
bin1000011110000111000000
311011210221000
420132013000
51032023410
6115332000
724605463
oct10360700
94153830
102220480
111287309
128b1000
135c98c2
1441b2da
152dcdc0
hex21e1c0

2220480 has 112 divisors (see below), whose sum is σ = 7863840. Its totient is φ = 589824.

The previous prime is 2220479. The next prime is 2220497. The reversal of 2220480 is 840222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8512 + ... + 8768.

22220480 is an apocalyptic number.

2220480 is a gapful number since it is divisible by the number (20) 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 2220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931920).

2220480 is an abundant number, since it is smaller than the sum of its proper divisors (5643360).

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

2220480 is a wasteful number, since it uses less digits than its factorization.

2220480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2220480 is about 1490.1275113224. The cubic root of 2220480 is about 130.4614762759.

It can be divided in two parts, 22 and 20480, that added together give a palindrome (20502).

The spelling of 2220480 in words is "two million, two hundred twenty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 257 270 288 320 360 432 480 514 540 576 720 771 864 960 1028 1080 1285 1440 1542 1728 2056 2160 2313 2570 2880 3084 3855 4112 4320 4626 5140 6168 6939 7710 8224 8640 9252 10280 11565 12336 13878 15420 16448 18504 20560 23130 24672 27756 30840 34695 37008 41120 46260 49344 55512 61680 69390 74016 82240 92520 111024 123360 138780 148032 185040 222048 246720 277560 370080 444096 555120 740160 1110240 2220480