Search a number
-
+
223001220 = 223513377727
BaseRepresentation
bin11010100101010…
…11101010000100
3120112121122011110
431102223222010
5424042014340
634043405020
75345323221
oct1522535204
9515548143
10223001220
11104973132
1262823770
133727b7b0
142188c948
151489e680
hexd4aba84

223001220 has 96 divisors (see below), whose sum is σ = 690697728. Its totient is φ = 53402112.

The previous prime is 223001171. The next prime is 223001221. The reversal of 223001220 is 22100322.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 223001196 and 223001205.

It is not an unprimeable number, because it can be changed into a prime (223001221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24997 + ... + 32723.

It is an arithmetic number, because the mean of its divisors is an integer number (7194768).

Almost surely, 2223001220 is an apocalyptic number.

223001220 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 223001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345348864).

223001220 is an abundant number, since it is smaller than the sum of its proper divisors (467696508).

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

223001220 is a wasteful number, since it uses less digits than its factorization.

223001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7789 (or 7787 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 223001220 is about 14933.2253716336. The cubic root of 223001220 is about 606.4138053134.

Adding to 223001220 its reverse (22100322), we get a palindrome (245101542).

The spelling of 223001220 in words is "two hundred twenty-three million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 37 39 52 60 65 74 78 111 130 148 156 185 195 222 260 370 390 444 481 555 740 780 962 1110 1443 1924 2220 2405 2886 4810 5772 7215 7727 9620 14430 15454 23181 28860 30908 38635 46362 77270 92724 100451 115905 154540 200902 231810 285899 301353 401804 463620 502255 571798 602706 857697 1004510 1143596 1205412 1429495 1506765 1715394 2009020 2858990 3013530 3430788 3716687 4288485 5717980 6027060 7433374 8576970 11150061 14866748 17153940 18583435 22300122 37166870 44600244 55750305 74333740 111500610 223001220