[go: up one dir, main page]

Search a number
-
+
220403340 = 223252295347
BaseRepresentation
bin11010010001100…
…01011010001100
3120100201122112200
431020301122030
5422410401330
633512001500
75314253223
oct1510613214
9510648480
10220403340
11103459323
1261990290
133687c1a1
14213b3cba
1514539a60
hexd23168c

220403340 has 72 divisors (see below), whose sum is σ = 671601840. Its totient is φ = 58506624.

The previous prime is 220403329. The next prime is 220403353. The reversal of 220403340 is 43304022.

220403340 is a `hidden beast` number, since 220 + 403 + 3 + 40 = 666.

220403340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38547 + ... + 43893.

Almost surely, 2220403340 is an apocalyptic number.

220403340 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 220403340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335800920).

220403340 is an abundant number, since it is smaller than the sum of its proper divisors (451198500).

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

220403340 is a wasteful number, since it uses less digits than its factorization.

220403340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5591 (or 5586 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 220403340 is about 14845.9873366509. The cubic root of 220403340 is about 604.0497707624.

Adding to 220403340 its reverse (43304022), we get a palindrome (263707362).

The spelling of 220403340 in words is "two hundred twenty million, four hundred three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 229 458 687 916 1145 1374 2061 2290 2748 3435 4122 4580 5347 6870 8244 10305 10694 13740 16041 20610 21388 26735 32082 41220 48123 53470 64164 80205 96246 106940 160410 192492 240615 320820 481230 962460 1224463 2448926 3673389 4897852 6122315 7346778 11020167 12244630 14693556 18366945 22040334 24489260 36733890 44080668 55100835 73467780 110201670 220403340