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224030208 = 293157929
BaseRepresentation
bin11010101101001…
…10111000000000
3120121112220200010
431112212320000
5424322431313
634121424520
75360140203
oct1526467000
9517486603
10224030208
11105506236
126303b140
133754bc6c
1421a7993a
1514a044c3
hexd5a6e00

224030208 has 80 divisors (see below), whose sum is σ = 601278480. Its totient is φ = 74121216.

The previous prime is 224030171. The next prime is 224030231. The reversal of 224030208 is 802030422.

224030208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 240688 + ... + 241616.

It is an arithmetic number, because the mean of its divisors is an integer number (7515981).

Almost surely, 2224030208 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 224030208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300639240).

224030208 is an abundant number, since it is smaller than the sum of its proper divisors (377248272).

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

224030208 is an equidigital number, since it uses as much as digits as its factorization.

224030208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 224030208 is about 14967.6386915238. The cubic root of 224030208 is about 607.3450935289.

The spelling of 224030208 in words is "two hundred twenty-four million, thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 157 192 256 314 384 471 512 628 768 929 942 1256 1536 1858 1884 2512 2787 3716 3768 5024 5574 7432 7536 10048 11148 14864 15072 20096 22296 29728 30144 40192 44592 59456 60288 80384 89184 118912 120576 145853 178368 237824 241152 291706 356736 437559 475648 583412 713472 875118 1166824 1426944 1750236 2333648 3500472 4667296 7000944 9334592 14001888 18669184 28003776 37338368 56007552 74676736 112015104 224030208