[go: up one dir, main page]

Search a number
-
+
224157696 = 213371303
BaseRepresentation
bin11010101110001…
…10000000000000
3120121210101112220
431113012000000
5424341021241
634124251040
75361210660
oct1527060000
9517711486
10224157696
11105592aa4
12630a0a80
1337594cb9
1421ab01a0
1514a2c166
hexd5c6000

224157696 has 112 divisors (see below), whose sum is σ = 683629824. Its totient is φ = 63995904.

The previous prime is 224157677. The next prime is 224157709. The reversal of 224157696 is 696751422.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171381 + ... + 172683.

Almost surely, 2224157696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224157696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341814912).

224157696 is an abundant number, since it is smaller than the sum of its proper divisors (459472128).

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

224157696 is an equidigital number, since it uses as much as digits as its factorization.

224157696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1315 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 224157696 is about 14971.8968738099. The cubic root of 224157696 is about 607.4602781866.

The spelling of 224157696 in words is "two hundred twenty-four million, one hundred fifty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1303 1344 1536 1792 2048 2606 2688 3072 3584 3909 4096 5212 5376 6144 7168 7818 8192 9121 10424 10752 12288 14336 15636 18242 20848 21504 24576 27363 28672 31272 36484 41696 43008 54726 57344 62544 72968 83392 86016 109452 125088 145936 166784 172032 218904 250176 291872 333568 437808 500352 583744 667136 875616 1000704 1167488 1334272 1751232 2001408 2334976 2668544 3502464 4002816 4669952 5337088 7004928 8005632 9339904 10674176 14009856 16011264 18679808 28019712 32022528 37359616 56039424 74719232 112078848 224157696