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234430224 = 243737109173
BaseRepresentation
bin11011111100100…
…01111100010000
3121100010021210220
431332101330100
5440003231344
635132353040
75544424020
oct1576217420
9540107726
10234430224
11110369996
1266615780
1339750912
14231c5a80
15158aac19
hexdf91f10

234430224 has 160 divisors (see below), whose sum is σ = 721501440. Its totient is φ = 64198656.

The previous prime is 234430213. The next prime is 234430247. The reversal of 234430224 is 422034432.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 234430194 and 234430203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1355002 + ... + 1355174.

It is an arithmetic number, because the mean of its divisors is an integer number (4509384).

Almost surely, 2234430224 is an apocalyptic number.

234430224 is a gapful number since it is divisible by the number (24) 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 234430224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360750720).

234430224 is an abundant number, since it is smaller than the sum of its proper divisors (487071216).

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

234430224 is a wasteful number, since it uses less digits than its factorization.

234430224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 234430224 is about 15311.1143944522. The cubic root of 234430224 is about 616.6014393471.

Adding to 234430224 its reverse (422034432), we get a palindrome (656464656).

The spelling of 234430224 in words is "two hundred thirty-four million, four hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 109 111 112 148 168 173 218 222 259 296 327 336 346 436 444 518 519 592 654 692 763 777 872 888 1036 1038 1211 1308 1384 1526 1554 1744 1776 2072 2076 2289 2422 2616 2768 3052 3108 3633 4033 4144 4152 4578 4844 5232 6104 6216 6401 7266 8066 8304 9156 9688 12099 12208 12432 12802 14532 16132 18312 18857 19203 19376 24198 25604 28231 29064 32264 36624 37714 38406 44807 48396 51208 56462 56571 58128 64528 75428 76812 84693 89614 96792 102416 112924 113142 131999 134421 150856 153624 169386 179228 193584 225848 226284 263998 268842 301712 307248 338772 358456 395997 451696 452568 527996 537684 677544 697709 716912 791994 905136 1055992 1075368 1355088 1395418 1583988 2093127 2111984 2150736 2790836 3167976 4186254 4883963 5581672 6335952 8372508 9767926 11163344 14651889 16745016 19535852 29303778 33490032 39071704 58607556 78143408 117215112 234430224