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226449720 = 233257233907
BaseRepresentation
bin11010111111101…
…01100100111000
3120210002211121200
431133311210320
5430432342340
634245334200
75416535160
oct1537654470
9523084550
10226449720
11106909032
1263a07360
1337bb8323
14221095a0
1514d31330
hexd7f5938

226449720 has 192 divisors, whose sum is σ = 877893120. Its totient is φ = 49496832.

The previous prime is 226449709. The next prime is 226449721. The reversal of 226449720 is 27944622.

226449720 is a `hidden beast` number, since 2 + 2 + 644 + 9 + 7 + 2 + 0 = 666.

226449720 is digitally balanced in base 3, 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226449721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56007 + ... + 59913.

It is an arithmetic number, because the mean of its divisors is an integer number (4572360).

Almost surely, 2226449720 is an apocalyptic number.

226449720 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 226449720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438946560).

226449720 is an abundant number, since it is smaller than the sum of its proper divisors (651443400).

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

226449720 is a wasteful number, since it uses less digits than its factorization.

226449720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3954 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 226449720 is about 15048.2464094658. The cubic root of 226449720 is about 609.5236987808.

It can be divided in two parts, 2264 and 49720, that added together give a square (51984 = 2282).

The spelling of 226449720 in words is "two hundred twenty-six million, four hundred forty-nine thousand, seven hundred twenty".