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226346240 = 2851941227
BaseRepresentation
bin11010111110111…
…00010100000000
3120202220120200002
431133130110000
5430421034430
634243215132
75415624401
oct1537342400
9522816602
10226346240
1110684830a
12639774a8
1337b801b3
14220bd9a8
1514d10845
hexd7dc500

226346240 has 144 divisors (see below), whose sum is σ = 587200320. Its totient is φ = 83312640.

The previous prime is 226346231. The next prime is 226346251. The reversal of 226346240 is 42643622.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 997007 + ... + 997233.

It is an arithmetic number, because the mean of its divisors is an integer number (4077780).

Almost surely, 2226346240 is an apocalyptic number.

226346240 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 226346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293600160).

226346240 is an abundant number, since it is smaller than the sum of its proper divisors (360854080).

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

226346240 is a wasteful number, since it uses less digits than its factorization.

226346240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The square root of 226346240 is about 15044.8077422079. The cubic root of 226346240 is about 609.4308406071.

Adding to 226346240 its reverse (42643622), we get a palindrome (268989862).

The spelling of 226346240 in words is "two hundred twenty-six million, three hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 41 64 76 80 82 95 128 152 160 164 190 205 227 256 304 320 328 380 410 454 608 640 656 760 779 820 908 1135 1216 1280 1312 1520 1558 1640 1816 2270 2432 2624 3040 3116 3280 3632 3895 4313 4540 4864 5248 6080 6232 6560 7264 7790 8626 9080 9307 10496 12160 12464 13120 14528 15580 17252 18160 18614 21565 24320 24928 26240 29056 31160 34504 36320 37228 43130 46535 49856 52480 58112 62320 69008 72640 74456 86260 93070 99712 124640 138016 145280 148912 172520 176833 186140 199424 249280 276032 290560 297824 345040 353666 372280 498560 552064 595648 690080 707332 744560 884165 997120 1104128 1191296 1380160 1414664 1489120 1768330 2382592 2760320 2829328 2978240 3536660 5520640 5658656 5956480 7073320 11317312 11912960 14146640 22634624 28293280 45269248 56586560 113173120 226346240