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226023600 = 243521117123
BaseRepresentation
bin11010111100011…
…01100010110000
3120202022012002110
431132031202300
5430330223400
634232245320
75413111635
oct1536154260
9522265073
10226023600
11106647970
1263840840
1337a9939a
142203818c
1514c99e50
hexd78d8b0

226023600 has 120 divisors (see below), whose sum is σ = 789895872. Its totient is φ = 54790400.

The previous prime is 226023587. The next prime is 226023607. The reversal of 226023600 is 6320622.

226023600 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 (120).

It is not an unprimeable number, because it can be changed into a prime (226023607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4639 + ... + 21761.

Almost surely, 2226023600 is an apocalyptic number.

226023600 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 226023600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394947936).

226023600 is an abundant number, since it is smaller than the sum of its proper divisors (563872272).

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

226023600 is a wasteful number, since it uses less digits than its factorization.

226023600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17155 (or 17144 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 226023600 is about 15034.0812822068. The cubic root of 226023600 is about 609.1411365588.

The spelling of 226023600 in words is "two hundred twenty-six million, twenty-three thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 17123 34246 51369 68492 85615 102738 136984 171230 188353 205476 256845 273968 342460 376706 410952 428075 513690 565059 684920 753412 821904 856150 941765 1027380 1130118 1284225 1369840 1506824 1712300 1883530 2054760 2260236 2568450 2825295 3013648 3424600 3767060 4109520 4520472 4708825 5136900 5650590 6849200 7534120 9040944 9417650 10273800 11301180 14126475 15068240 18835300 20547600 22602360 28252950 37670600 45204720 56505900 75341200 113011800 226023600