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226352360 = 235132112063
BaseRepresentation
bin11010111110111…
…01110011101000
3120202220220001202
431133131303220
5430421233420
634243303332
75415651263
oct1537356350
9522826052
10226352360
11106851973
126397ab48
1337b82c10
14220c1cda
1514d12575
hexd7ddce8

226352360 has 64 divisors (see below), whose sum is σ = 551335680. Its totient is φ = 83139840.

The previous prime is 226352353. The next prime is 226352363. The reversal of 226352360 is 63253622.

It is not an unprimeable number, because it can be changed into a prime (226352363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108689 + ... + 110751.

It is an arithmetic number, because the mean of its divisors is an integer number (8614620).

Almost surely, 2226352360 is an apocalyptic number.

226352360 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 226352360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275667840).

226352360 is an abundant number, since it is smaller than the sum of its proper divisors (324983320).

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

226352360 is a wasteful number, since it uses less digits than its factorization.

226352360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 226352360 is about 15045.0111332627. The cubic root of 226352360 is about 609.4363331999.

The spelling of 226352360 in words is "two hundred twenty-six million, three hundred fifty-two thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 211 260 422 520 844 1055 1688 2063 2110 2743 4126 4220 5486 8252 8440 10315 10972 13715 16504 20630 21944 26819 27430 41260 53638 54860 82520 107276 109720 134095 214552 268190 435293 536380 870586 1072760 1741172 2176465 3482344 4352930 5658809 8705860 11317618 17411720 22635236 28294045 45270472 56588090 113176180 226352360