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226664460 = 223351123469
BaseRepresentation
bin11011000001010…
…10000000001100
3120210111202012000
431200222000030
5431011230320
634254112300
75421421221
oct1540520014
9523452160
10226664460
11106a45400
1263aab690
1337c61ca9
1422163948
1514d74c90
hexd82a00c

226664460 has 144 divisors (see below), whose sum is σ = 775336800. Its totient is φ = 54933120.

The previous prime is 226664443. The next prime is 226664483. The reversal of 226664460 is 64466622.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63606 + ... + 67074.

Almost surely, 2226664460 is an apocalyptic number.

226664460 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 226664460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387668400).

226664460 is an abundant number, since it is smaller than the sum of its proper divisors (548672340).

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

226664460 is a wasteful number, since it uses less digits than its factorization.

226664460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3509 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 226664460 is about 15055.3797693715. The cubic root of 226664460 is about 609.7163063160.

The spelling of 226664460 in words is "two hundred twenty-six million, six hundred sixty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 121 132 135 165 180 198 220 242 270 297 330 363 396 484 495 540 594 605 660 726 990 1089 1188 1210 1452 1485 1815 1980 2178 2420 2970 3267 3469 3630 4356 5445 5940 6534 6938 7260 10407 10890 13068 13876 16335 17345 20814 21780 31221 32670 34690 38159 41628 52035 62442 65340 69380 76318 93663 104070 114477 124884 152636 156105 187326 190795 208140 228954 312210 343431 374652 381590 419749 457908 468315 572385 624420 686862 763180 839498 936630 1030293 1144770 1259247 1373724 1678996 1717155 1873260 2060586 2098745 2289540 2518494 3434310 3777741 4121172 4197490 5036988 5151465 6296235 6868620 7555482 8394980 10302930 11333223 12592470 15110964 18888705 20605860 22666446 25184940 37777410 45332892 56666115 75554820 113332230 226664460