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226251440 = 2456171653
BaseRepresentation
bin11010111110001…
…01001010110000
3120202201202121222
431133011022300
5430410021230
634241204212
75415051122
oct1537051260
9522652558
10226251440
11106793068
1263930668
1337b48cbc
1422097212
1514ce26e5
hexd7c52b0

226251440 has 80 divisors (see below), whose sum is σ = 543018816. Its totient is φ = 87628800.

The previous prime is 226251427. The next prime is 226251451. The reversal of 226251440 is 44152622.

226251440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346154 + ... + 346806.

Almost surely, 2226251440 is an apocalyptic number.

226251440 is a gapful number since it is divisible by the number (20) 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 226251440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271509408).

226251440 is an abundant number, since it is smaller than the sum of its proper divisors (316767376).

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

226251440 is a wasteful number, since it uses less digits than its factorization.

226251440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 226251440 is about 15041.6568236348. The cubic root of 226251440 is about 609.3457466211.

The spelling of 226251440 in words is "two hundred twenty-six million, two hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 71 80 122 142 244 284 305 355 488 568 610 653 710 976 1136 1220 1306 1420 2440 2612 2840 3265 4331 4880 5224 5680 6530 8662 10448 13060 17324 21655 26120 34648 39833 43310 46363 52240 69296 79666 86620 92726 159332 173240 185452 199165 231815 318664 346480 370904 398330 463630 637328 741808 796660 927260 1593320 1854520 2828143 3186640 3709040 5656286 11312572 14140715 22625144 28281430 45250288 56562860 113125720 226251440