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226355304 = 2337331887
BaseRepresentation
bin11010111110111…
…10100001101000
3120202221001002210
431133132201220
5430421332204
634243325120
75415663000
oct1537364150
9522831083
10226355304
111068540aa
12639807a0
1337b84366
14220c3000
1514d13389
hexd7de868

226355304 has 128 divisors (see below), whose sum is σ = 681984000. Its totient is φ = 62516160.

The previous prime is 226355257. The next prime is 226355309. The reversal of 226355304 is 403553622.

It is not an unprimeable number, because it can be changed into a prime (226355309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254749 + ... + 255635.

It is an arithmetic number, because the mean of its divisors is an integer number (5328000).

Almost surely, 2226355304 is an apocalyptic number.

226355304 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 226355304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340992000).

226355304 is an abundant number, since it is smaller than the sum of its proper divisors (455628696).

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

226355304 is a wasteful number, since it uses less digits than its factorization.

226355304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 226355304 is about 15045.1089726861. The cubic root of 226355304 is about 609.4389753530.

The spelling of 226355304 in words is "two hundred twenty-six million, three hundred fifty-five thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 49 56 62 84 93 98 124 147 168 186 196 217 248 294 343 372 392 434 588 651 686 744 868 887 1029 1176 1302 1372 1519 1736 1774 2058 2604 2661 2744 3038 3548 4116 4557 5208 5322 6076 6209 7096 8232 9114 10633 10644 12152 12418 18228 18627 21266 21288 24836 27497 31899 36456 37254 42532 43463 49672 54994 63798 74508 82491 85064 86926 109988 127596 130389 149016 164982 173852 192479 219976 255192 260778 304241 329964 347704 384958 521556 577437 608482 659928 769916 912723 1043112 1154874 1216964 1347353 1539832 1825446 2309748 2433928 2694706 3650892 4042059 4619496 5389412 7301784 8084118 9431471 10778824 16168236 18862942 28294413 32336472 37725884 56588826 75451768 113177652 226355304