Search a number
-
+
226630296 = 233243711031
BaseRepresentation
bin11011000001000…
…01101010011000
3120210110000022200
431200201222120
5431004132141
634253250200
75421216504
oct1540415230
9523400280
10226630296
11106a21772
1263a93960
1337c4c589
1422155304
1514d69ab6
hexd821a98

226630296 has 96 divisors (see below), whose sum is σ = 637528320. Its totient is φ = 72676800.

The previous prime is 226630277. The next prime is 226630301. The reversal of 226630296 is 692036622.

226630296 is a `hidden beast` number, since 2 + 266 + 302 + 96 = 666.

It is a super-2 number, since 2×2266302962 = 102722582130095232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 226630296.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219301 + ... + 220331.

It is an arithmetic number, because the mean of its divisors is an integer number (6640920).

Almost surely, 2226630296 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 226630296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318764160).

226630296 is an abundant number, since it is smaller than the sum of its proper divisors (410898024).

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

226630296 is a wasteful number, since it uses less digits than its factorization.

226630296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 226630296 is about 15054.2451155812. The cubic root of 226630296 is about 609.6856716141.

The spelling of 226630296 in words is "two hundred twenty-six million, six hundred thirty thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 71 72 86 129 142 172 213 258 284 344 387 426 516 568 639 774 852 1031 1032 1278 1548 1704 2062 2556 3053 3093 3096 4124 5112 6106 6186 8248 9159 9279 12212 12372 18318 18558 24424 24744 27477 36636 37116 44333 54954 73201 73272 74232 88666 109908 132999 146402 177332 219603 219816 265998 292804 354664 398997 439206 531996 585608 658809 797994 878412 1063992 1317618 1595988 1756824 2635236 3147643 3191976 5270472 6295286 9442929 12590572 18885858 25181144 28328787 37771716 56657574 75543432 113315148 226630296