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226431348 = 22311131271039
BaseRepresentation
bin11010111111100…
…01000101110100
3120210001220102020
431133301011310
5430431300343
634245113140
75416430463
oct1537610564
9523056366
10226431348
111068a6250
12639b87b0
1337bacb60
14221029da
1514d2ab83
hexd7f1174

226431348 has 96 divisors (see below), whose sum is σ = 626196480. Its totient is φ = 62778240.

The previous prime is 226431299. The next prime is 226431349. The reversal of 226431348 is 843134622.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226431349) 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, 217413 + ... + 218451.

It is an arithmetic number, because the mean of its divisors is an integer number (6522880).

Almost surely, 2226431348 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 226431348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313098240).

226431348 is an abundant number, since it is smaller than the sum of its proper divisors (399765132).

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

226431348 is a wasteful number, since it uses less digits than its factorization.

226431348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1195 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 226431348 is about 15047.6359605089. The cubic root of 226431348 is about 609.5072146620.

The spelling of 226431348 in words is "two hundred twenty-six million, four hundred thirty-one thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 127 132 143 156 254 286 381 429 508 572 762 858 1039 1397 1524 1651 1716 2078 2794 3117 3302 4156 4191 4953 5588 6234 6604 8382 9906 11429 12468 13507 16764 18161 19812 22858 27014 34287 36322 40521 45716 54028 54483 68574 72644 81042 108966 131953 137148 148577 162084 217932 263906 297154 395859 445731 527812 594308 791718 891462 1451483 1583436 1715389 1782924 2902966 3430778 4354449 5146167 5805932 6861556 8708898 10292334 17417796 18869279 20584668 37738558 56607837 75477116 113215674 226431348