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226102736 = 24193372207
BaseRepresentation
bin11010111101000…
…00110111010000
3120202110012122102
431132200313100
5430340241421
634234055532
75413561436
oct1536406720
9522405572
10226102736
111066a1372
126387a5a8
1337ac6402
1422058d56
1514cb360b
hexd7a0dd0

226102736 has 40 divisors (see below), whose sum is σ = 462708480. Its totient is φ = 106735104.

The previous prime is 226102727. The next prime is 226102757. The reversal of 226102736 is 637201622.

226102736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2261027362 = 102244894453371392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 226102699 and 226102708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101345 + ... + 103551.

It is an arithmetic number, because the mean of its divisors is an integer number (11567712).

Almost surely, 2226102736 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 226102736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231354240).

226102736 is an abundant number, since it is smaller than the sum of its proper divisors (236605744).

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

226102736 is a wasteful number, since it uses less digits than its factorization.

226102736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2571 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 226102736 is about 15036.7129386711. The cubic root of 226102736 is about 609.2122196495.

The spelling of 226102736 in words is "two hundred twenty-six million, one hundred two thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 19 38 76 152 304 337 674 1348 2207 2696 4414 5392 6403 8828 12806 17656 25612 35312 41933 51224 83866 102448 167732 335464 670928 743759 1487518 2975036 5950072 11900144 14131421 28262842 56525684 113051368 226102736