Search a number
-
+
226603008 = 21234683
BaseRepresentation
bin11011000000110…
…11000000000000
3120210101121220000
431200123000000
5431002244013
634252520000
75421044112
oct1540330000
9523347800
10226603008
11106a03215
1263a80000
1337c40028
14221493b2
1514d61973
hexd81b000

226603008 has 130 divisors (see below), whose sum is σ = 677919924. Its totient is φ = 75423744.

The previous prime is 226603007. The next prime is 226603021. The reversal of 226603008 is 800306622.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (226603001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 331435 + ... + 332117.

Almost surely, 2226603008 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 226603008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338959962).

226603008 is an abundant number, since it is smaller than the sum of its proper divisors (451316916).

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

226603008 is an frugal number, since it uses more digits than its factorization.

226603008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 226603008 is about 15053.3387658685. The cubic root of 226603008 is about 609.6612003780.

The spelling of 226603008 in words is "two hundred twenty-six million, six hundred three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 683 768 864 1024 1152 1296 1366 1536 1728 2048 2049 2304 2592 2732 3072 3456 4096 4098 4608 5184 5464 6144 6147 6912 8196 9216 10368 10928 12288 12294 13824 16392 18432 18441 20736 21856 24588 27648 32784 36864 36882 41472 43712 49176 55296 55323 65568 73764 82944 87424 98352 110592 110646 131136 147528 165888 174848 196704 221292 262272 295056 331776 349696 393408 442584 524544 590112 699392 786816 885168 1049088 1180224 1398784 1573632 1770336 2098176 2360448 2797568 3147264 3540672 4196352 4720896 6294528 7081344 8392704 9441792 12589056 14162688 18883584 25178112 28325376 37767168 56650752 75534336 113301504 226603008