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226536112 = 24116719211
BaseRepresentation
bin11011000000010…
…10101010110000
3120210021020010101
431200022222300
5430443123422
634251242144
75420345065
oct1540125260
9523236111
10226536112
11106967a30
1263a49354
1337c1874a
142212cc6c
1514d4bc27
hexd80aab0

226536112 has 40 divisors (see below), whose sum is σ = 485986752. Its totient is φ = 101428800.

The previous prime is 226536109. The next prime is 226536113. The reversal of 226536112 is 211635622.

It is a super-2 number, since 2×2265361122 = 102637220080153088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226536113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2187 + ... + 21397.

Almost surely, 2226536112 is an apocalyptic number.

226536112 is a gapful number since it is divisible by the number (22) 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 226536112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242993376).

226536112 is an abundant number, since it is smaller than the sum of its proper divisors (259450640).

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

226536112 is a wasteful number, since it uses less digits than its factorization.

226536112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19297 (or 19291 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 226536112 is about 15051.1166363164. The cubic root of 226536112 is about 609.6012013074.

The spelling of 226536112 in words is "two hundred twenty-six million, five hundred thirty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 67 88 134 176 268 536 737 1072 1474 2948 5896 11792 19211 38422 76844 153688 211321 307376 422642 845284 1287137 1690568 2574274 3381136 5148548 10297096 14158507 20594192 28317014 56634028 113268056 226536112