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230411220 = 223513231733
BaseRepresentation
bin11011011101111…
…00101111010100
3121001120002202220
431232330233110
5432441124340
634510302340
75465314554
oct1556745724
9531502686
10230411220
111090743a6
12651b79b0
1338974500
142285b164
1515364ed0
hexdbbcbd4

230411220 has 144 divisors (see below), whose sum is σ = 722115072. Its totient is φ = 54812160.

The previous prime is 230411179. The next prime is 230411227. The reversal of 230411220 is 22114032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230411220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230411227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313974 + ... + 314706.

It is an arithmetic number, because the mean of its divisors is an integer number (5014688).

Almost surely, 2230411220 is an apocalyptic number.

230411220 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 230411220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361057536).

230411220 is an abundant number, since it is smaller than the sum of its proper divisors (491703852).

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

230411220 is a wasteful number, since it uses less digits than its factorization.

230411220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 230411220 is about 15179.3023555103. The cubic root of 230411220 is about 613.0574971327.

Adding to 230411220 its reverse (22114032), we get a palindrome (252525252).

The spelling of 230411220 in words is "two hundred thirty million, four hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 31 39 52 60 62 65 78 93 124 130 155 156 169 186 195 260 310 338 372 390 403 465 507 620 676 733 780 806 845 930 1014 1209 1466 1612 1690 1860 2015 2028 2199 2418 2535 2932 3380 3665 4030 4398 4836 5070 5239 6045 7330 8060 8796 9529 10140 10478 10995 12090 14660 15717 19058 20956 21990 22723 24180 26195 28587 31434 38116 43980 45446 47645 52390 57174 62868 68169 78585 90892 95290 104780 113615 114348 123877 136338 142935 157170 190580 227230 247754 272676 285870 295399 314340 340845 371631 454460 495508 571740 590798 619385 681690 743262 886197 1181596 1238770 1363380 1476995 1486524 1772394 1858155 2477540 2953990 3544788 3716310 3840187 4430985 5907980 7432620 7680374 8861970 11520561 15360748 17723940 19200935 23041122 38401870 46082244 57602805 76803740 115205610 230411220