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226732600 = 23523673089
BaseRepresentation
bin11011000001110…
…10101000111000
3120210122012122201
431200322220320
5431020420400
634255355544
75422123663
oct1540725070
9523565581
10226732600
11106a91616
1263b22bb4
1337c87003
14221806da
1514d8a06a
hexd83aa38

226732600 has 48 divisors (see below), whose sum is σ = 528760800. Its totient is φ = 90416640.

The previous prime is 226732591. The next prime is 226732601. The reversal of 226732600 is 6237622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226732601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71856 + ... + 74944.

It is an arithmetic number, because the mean of its divisors is an integer number (11015850).

Almost surely, 2226732600 is an apocalyptic number.

226732600 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 226732600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264380400).

226732600 is an abundant number, since it is smaller than the sum of its proper divisors (302028200).

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

226732600 is a wasteful number, since it uses less digits than its factorization.

226732600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3472 (or 3463 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 226732600 is about 15057.6425777743. The cubic root of 226732600 is about 609.7773979499. Note that the first 3 decimals are identical.

The spelling of 226732600 in words is "two hundred twenty-six million, seven hundred thirty-two thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 367 734 1468 1835 2936 3089 3670 6178 7340 9175 12356 14680 15445 18350 24712 30890 36700 61780 73400 77225 123560 154450 308900 617800 1133663 2267326 4534652 5668315 9069304 11336630 22673260 28341575 45346520 56683150 113366300 226732600