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226044200 = 235210910369
BaseRepresentation
bin11010111100100…
…10100100101000
3120202100020100102
431132102210220
5430331403300
634232524532
75413225664
oct1536224450
9522306312
10226044200
11106661398
1263850748
1337aa5885
14220418a4
1514ca10d5
hexd792928

226044200 has 48 divisors (see below), whose sum is σ = 530425500. Its totient is φ = 89579520.

The previous prime is 226044199. The next prime is 226044209. The reversal of 226044200 is 2440622.

It can be written as a sum of positive squares in 6 ways, for example, as 46430596 + 179613604 = 6814^2 + 13402^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (226044209) 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, 16616 + ... + 26984.

Almost surely, 2226044200 is an apocalyptic number.

226044200 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 226044200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265212750).

226044200 is an abundant number, since it is smaller than the sum of its proper divisors (304381300).

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

226044200 is a wasteful number, since it uses less digits than its factorization.

226044200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10494 (or 10485 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 226044200 is about 15034.7663766352. The cubic root of 226044200 is about 609.1596418922.

Adding to 226044200 its reverse (2440622), we get a palindrome (228484822).

The spelling of 226044200 in words is "two hundred twenty-six million, forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 200 218 436 545 872 1090 2180 2725 4360 5450 10369 10900 20738 21800 41476 51845 82952 103690 207380 259225 414760 518450 1036900 1130221 2073800 2260442 4520884 5651105 9041768 11302210 22604420 28255525 45208840 56511050 113022100 226044200