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226672236 = 22337329211
BaseRepresentation
bin11011000001010…
…11111001101100
3120210112010212000
431200223321230
5431012002421
634254212300
75421453000
oct1540537154
9523463760
10226672236
11106a5022a
1263ab4090
1337c656ab
1422166700
1514d77226
hexd82be6c

226672236 has 192 divisors, whose sum is σ = 712320000. Its totient is φ = 62233920.

The previous prime is 226672213. The next prime is 226672283. The reversal of 226672236 is 632276622.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (72576) is a multiple of the sum of its prime divisors (252).

It is a self number, because there is not a number n which added to its sum of digits gives 226672236.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1074171 + ... + 1074381.

It is an arithmetic number, because the mean of its divisors is an integer number (3710000).

Almost surely, 2226672236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226672236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356160000).

226672236 is an abundant number, since it is smaller than the sum of its proper divisors (485647764).

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

226672236 is a wasteful number, since it uses less digits than its factorization.

226672236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 252 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 226672236 is about 15055.6380137143. The cubic root of 226672236 is about 609.7232785895.

The spelling of 226672236 in words is "two hundred twenty-six million, six hundred seventy-two thousand, two hundred thirty-six".