Search a number
-
+
220228840 = 23513479011
BaseRepresentation
bin11010010000001…
…10110011101000
3120100101210011201
431020012303220
5422334310330
633504133544
75312625406
oct1510066350
9510353151
10220228840
1110334a207
12619072b4
133681a930
142136a476
1514502eca
hexd206ce8

220228840 has 64 divisors (see below), whose sum is σ = 545045760. Its totient is φ = 79576320.

The previous prime is 220228831. The next prime is 220228859. The reversal of 220228840 is 48822022.

It is a junction number, because it is equal to n+sod(n) for n = 220228799 and 220228808.

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, 19935 + ... + 28945.

It is an arithmetic number, because the mean of its divisors is an integer number (8516340).

Almost surely, 2220228840 is an apocalyptic number.

220228840 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 220228840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272522880).

220228840 is an abundant number, since it is smaller than the sum of its proper divisors (324816920).

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

220228840 is a wasteful number, since it uses less digits than its factorization.

220228840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9082 (or 9078 counting only the distinct ones).

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

The square root of 220228840 is about 14840.1091640190. The cubic root of 220228840 is about 603.8903138395.

The spelling of 220228840 in words is "two hundred twenty million, two hundred twenty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 47 52 65 94 104 130 188 235 260 376 470 520 611 940 1222 1880 2444 3055 4888 6110 9011 12220 18022 24440 36044 45055 72088 90110 117143 180220 234286 360440 423517 468572 585715 847034 937144 1171430 1694068 2117585 2342860 3388136 4235170 4685720 5505721 8470340 11011442 16940680 22022884 27528605 44045768 55057210 110114420 220228840