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226331160 = 233511277619
BaseRepresentation
bin11010111110110…
…00101000011000
3120202212210222120
431133120220120
5430420044120
634243021240
75415532416
oct1537305030
9522783876
10226331160
11106837a50
126396a820
1337b76383
14220b82b6
1514d0b140
hexd7d8a18

226331160 has 128 divisors (see below), whose sum is σ = 744595200. Its totient is φ = 54581760.

The previous prime is 226331153. The next prime is 226331207. The reversal of 226331160 is 61133622.

It is a happy number.

226331160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 226331160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 365331 + ... + 365949.

It is an arithmetic number, because the mean of its divisors is an integer number (5817150).

Almost surely, 2226331160 is an apocalyptic number.

226331160 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 226331160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372297600).

226331160 is an abundant number, since it is smaller than the sum of its proper divisors (518264040).

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

226331160 is a wasteful number, since it uses less digits than its factorization.

226331160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 226331160 is about 15044.3065642787. The cubic root of 226331160 is about 609.4173061489.

Adding to 226331160 its reverse (61133622), we get a palindrome (287464782).

The spelling of 226331160 in words is "two hundred twenty-six million, three hundred thirty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 277 330 440 554 619 660 831 1108 1238 1320 1385 1662 1857 2216 2476 2770 3047 3095 3324 3714 4155 4952 5540 6094 6190 6648 6809 7428 8310 9141 9285 11080 12188 12380 13618 14856 15235 16620 18282 18570 20427 24376 24760 27236 30470 33240 34045 36564 37140 40854 45705 54472 60940 68090 73128 74280 81708 91410 102135 121880 136180 163416 171463 182820 204270 272360 342926 365640 408540 514389 685852 817080 857315 1028778 1371704 1714630 1886093 2057556 2571945 3429260 3772186 4115112 5143890 5658279 6858520 7544372 9430465 10287780 11316558 15088744 18860930 20575560 22633116 28291395 37721860 45266232 56582790 75443720 113165580 226331160