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226800000 = 2734557
BaseRepresentation
bin11011000010010…
…11000110000000
3120210202122010000
431201023012000
5431030100000
634301040000
75422524330
oct1541130600
9523678100
10226800000
11107028219
1263b56000
1337cab8ab
142219b0c0
1514da0000
hexd84b180

226800000 has 480 divisors, whose sum is σ = 964157040. Its totient is φ = 51840000.

The previous prime is 226799983. The next prime is 226800001. The reversal of 226800000 is 8622.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226800001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32399997 + ... + 32400003.

Almost surely, 2226800000 is an apocalyptic number.

226800000 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 226800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482078520).

226800000 is an abundant number, since it is smaller than the sum of its proper divisors (737357040).

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

226800000 is an frugal number, since it uses more digits than its factorization.

226800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 226800000 is about 15059.8804776134. The cubic root of 226800000 is about 609.8378140889.

Adding to 226800000 its reverse (8622), we get a palindrome (226808622).

The spelling of 226800000 in words is "two hundred twenty-six million, eight hundred thousand".