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226803564 = 22361331193
BaseRepresentation
bin11011000010010…
…11111101101100
3120210202211000000
431201023331230
5431030203224
634301104300
75422540611
oct1541137554
9523684000
10226803564
1110702a969
1263b58090
1337cb03c0
142219c508
1514da10c9
hexd84bf6c

226803564 has 168 divisors, whose sum is σ = 664963712. Its totient is φ = 67184640.

The previous prime is 226803553. The next prime is 226803569. The reversal of 226803564 is 465308622.

226803564 is a `hidden beast` number, since 226 + 80 + 356 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (226803569) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1175052 + ... + 1175244.

Almost surely, 2226803564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226803564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332481856).

226803564 is an abundant number, since it is smaller than the sum of its proper divisors (438160148).

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

226803564 is a wasteful number, since it uses less digits than its factorization.

226803564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 226803564 is about 15059.9988047808. The cubic root of 226803564 is about 609.8410084607.

Adding to 226803564 its sum of digits (36), we get a square (226803600 = 150602).

It can be divided in two parts, 22680 and 3564, that added together give a square (26244 = 1622).

The spelling of 226803564 in words is "two hundred twenty-six million, eight hundred three thousand, five hundred sixty-four".