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220423320 = 233251323623
BaseRepresentation
bin11010010001101…
…10010010011000
3120100202122221200
431020312102120
5422412021240
633512234200
75314365405
oct1510662230
9510678850
10220423320
11103472337
126199b960
1336888300
14213bb2ac
1514540930
hexd236498

220423320 has 144 divisors (see below), whose sum is σ = 775934640. Its totient is φ = 54243072.

The previous prime is 220423297. The next prime is 220423321. The reversal of 220423320 is 23324022.

220423320 is a `hidden beast` number, since 220 + 423 + 3 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 220423293 and 220423302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220423321) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59029 + ... + 62651.

It is an arithmetic number, because the mean of its divisors is an integer number (5388435).

Almost surely, 2220423320 is an apocalyptic number.

220423320 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 220423320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387967320).

220423320 is an abundant number, since it is smaller than the sum of its proper divisors (555511320).

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

220423320 is a wasteful number, since it uses less digits than its factorization.

220423320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3666 (or 3646 counting only the distinct ones).

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

The square root of 220423320 is about 14846.6602305030. The cubic root of 220423320 is about 604.0680229808.

Adding to 220423320 its reverse (23324022), we get a palindrome (243747342).

The spelling of 220423320 in words is "two hundred twenty million, four hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 169 180 195 234 260 312 338 360 390 468 507 520 585 676 780 845 936 1014 1170 1352 1521 1560 1690 2028 2340 2535 3042 3380 3623 4056 4680 5070 6084 6760 7246 7605 10140 10869 12168 14492 15210 18115 20280 21738 28984 30420 32607 36230 43476 47099 54345 60840 65214 72460 86952 94198 108690 130428 141297 144920 163035 188396 217380 235495 260856 282594 326070 376792 423891 434760 470990 565188 612287 652140 706485 847782 941980 1130376 1224574 1304280 1412970 1695564 1836861 1883960 2119455 2449148 2825940 3061435 3391128 3673722 4238910 4898296 5510583 5651880 6122870 7347444 8477820 9184305 11021166 12245740 14694888 16955640 18368610 22042332 24491480 27552915 36737220 44084664 55105830 73474440 110211660 220423320