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226135224 = 233271726393
BaseRepresentation
bin11010111101010…
…00110010111000
3120202111212012200
431132220302320
5430342311344
634234510200
75414055240
oct1536506270
9522455180
10226135224
11106713817
1263895360
1337b08133
1422066b20
1514cbd069
hexd7a8cb8

226135224 has 96 divisors (see below), whose sum is σ = 741143520. Its totient is φ = 60807168.

The previous prime is 226135223. The next prime is 226135229. The reversal of 226135224 is 422531622.

It is a happy number.

226135224 is a `hidden beast` number, since 22 + 613 + 5 + 2 + 24 = 666.

It is a super-2 number, since 2×2261352242 = 102274279067060352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226135223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4629 + ... + 21764.

It is an arithmetic number, because the mean of its divisors is an integer number (7720245).

Almost surely, 2226135224 is an apocalyptic number.

226135224 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 226135224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370571760).

226135224 is an abundant number, since it is smaller than the sum of its proper divisors (515008296).

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

226135224 is a wasteful number, since it uses less digits than its factorization.

226135224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26429 (or 26422 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 226135224 is about 15037.7931891618. The cubic root of 226135224 is about 609.2413968561.

Adding to 226135224 its reverse (422531622), we get a palindrome (648666846).

The spelling of 226135224 in words is "two hundred twenty-six million, one hundred thirty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 612 714 952 1071 1224 1428 2142 2856 4284 8568 26393 52786 79179 105572 158358 184751 211144 237537 316716 369502 448681 475074 554253 633432 739004 897362 950148 1108506 1346043 1478008 1662759 1794724 1900296 2217012 2692086 3140767 3325518 3589448 4038129 4434024 5384172 6281534 6651036 8076258 9422301 10768344 12563068 13302072 16152516 18844602 25126136 28266903 32305032 37689204 56533806 75378408 113067612 226135224