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226026600 = 23352449839
BaseRepresentation
bin11010111100011…
…10010001101000
3120202022100012120
431132032101220
5430330322400
634232311240
75413123452
oct1536162150
9522270176
10226026600
1110664a148
1263842520
1337a9a867
14220392d2
1514c9aca0
hexd78e468

226026600 has 96 divisors (see below), whose sum is σ = 703080000. Its totient is φ = 60067840.

The previous prime is 226026569. The next prime is 226026607. The reversal of 226026600 is 6620622.

226026600 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (226026607) 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, 268981 + ... + 269819.

It is an arithmetic number, because the mean of its divisors is an integer number (7323750).

Almost surely, 2226026600 is an apocalyptic number.

226026600 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 226026600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351540000).

226026600 is an abundant number, since it is smaller than the sum of its proper divisors (477053400).

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

226026600 is a wasteful number, since it uses less digits than its factorization.

226026600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 226026600 is about 15034.1810551822. The cubic root of 226026600 is about 609.1438315802.

The spelling of 226026600 in words is "two hundred twenty-six million, twenty-six thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 449 600 839 898 1347 1678 1796 2245 2517 2694 3356 3592 4195 4490 5034 5388 6712 6735 8390 8980 10068 10776 11225 12585 13470 16780 17960 20136 20975 22450 25170 26940 33560 33675 41950 44900 50340 53880 62925 67350 83900 89800 100680 125850 134700 167800 251700 269400 376711 503400 753422 1130133 1506844 1883555 2260266 3013688 3767110 4520532 5650665 7534220 9041064 9417775 11301330 15068440 18835550 22602660 28253325 37671100 45205320 56506650 75342200 113013300 226026600