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226712304 = 24337137379
BaseRepresentation
bin11011000001101…
…01101011110000
3120210121011211000
431200311223300
5431014243204
634255122000
75422010550
oct1540655360
9523534730
10226712304
11106a78345
1263b13300
1337c7a9c0
1422177160
1514d84039
hexd835af0

226712304 has 320 divisors, whose sum is σ = 822169600. Its totient is φ = 58226688.

The previous prime is 226712267. The next prime is 226712309. The reversal of 226712304 is 403217622.

226712304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226712309) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2869737 + ... + 2869815.

It is an arithmetic number, because the mean of its divisors is an integer number (2569280).

Almost surely, 2226712304 is an apocalyptic number.

226712304 is a gapful number since it is divisible by the number (24) 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 226712304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411084800).

226712304 is an abundant number, since it is smaller than the sum of its proper divisors (595457296).

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

226712304 is a wasteful number, since it uses less digits than its factorization.

226712304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 226712304 is about 15056.9686192142. The cubic root of 226712304 is about 609.7592026376.

Adding to 226712304 its reverse (403217622), we get a palindrome (629929926).

The spelling of 226712304 in words is "two hundred twenty-six million, seven hundred twelve thousand, three hundred four".