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226405400 = 23521331532
BaseRepresentation
bin11010111111010…
…10110000011000
3120210000120211012
431133222300120
5430424433100
634244353052
75416262024
oct1537526030
9523016735
10226405400
11106888801
12639a5788
1337ba10c0
14220d7384
1514d23135
hexd7eac18

226405400 has 144 divisors (see below), whose sum is σ = 596420160. Its totient is φ = 79372800.

The previous prime is 226405379. The next prime is 226405423. The reversal of 226405400 is 4504622.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4271774 + ... + 4271826.

Almost surely, 2226405400 is an apocalyptic number.

226405400 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 226405400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298210080).

226405400 is an abundant number, since it is smaller than the sum of its proper divisors (370014760).

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

226405400 is a wasteful number, since it uses less digits than its factorization.

226405400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 226405400 is about 15046.7737405731. The cubic root of 226405400 is about 609.4839315235.

The spelling of 226405400 in words is "two hundred twenty-six million, four hundred five thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 31 40 50 52 53 62 65 100 104 106 124 130 155 200 212 248 260 265 310 325 403 424 520 530 620 650 689 775 806 1060 1240 1300 1325 1378 1550 1612 1643 2015 2120 2600 2650 2756 2809 3100 3224 3286 3445 4030 5300 5512 5618 6200 6572 6890 8060 8215 10075 10600 11236 13144 13780 14045 16120 16430 17225 20150 21359 22472 27560 28090 32860 34450 36517 40300 41075 42718 56180 65720 68900 70225 73034 80600 82150 85436 87079 106795 112360 137800 140450 146068 164300 170872 174158 182585 213590 280900 292136 328600 348316 365170 427180 435395 533975 561800 696632 730340 854360 870790 912925 1067950 1132027 1460680 1741580 1825850 2135900 2176975 2264054 3483160 3651700 4271800 4353950 4528108 5660135 7303400 8707900 9056216 11320270 17415800 22640540 28300675 45281080 56601350 113202700 226405400