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226803528 = 2332717103257
BaseRepresentation
bin11011000010010…
…11111101001000
3120210202210221200
431201023331020
5431030203103
634301104200
75422540530
oct1541137510
9523683850
10226803528
1110702a936
1263b58060
1337cb0393
142219c4c0
1514da10a3
hexd84bf48

226803528 has 192 divisors, whose sum is σ = 753442560. Its totient is φ = 60162048.

The previous prime is 226803527. The next prime is 226803547. The reversal of 226803528 is 825308622.

226803528 is a `hidden beast` number, since 226 + 80 + 352 + 8 = 666.

226803528 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 226803492 and 226803501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226803527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 882376 + ... + 882632.

It is an arithmetic number, because the mean of its divisors is an integer number (3924180).

Almost surely, 2226803528 is an apocalyptic number.

226803528 is a gapful number since it is divisible by the number (28) 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 226803528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376721280).

226803528 is an abundant number, since it is smaller than the sum of its proper divisors (526639032).

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

226803528 is a wasteful number, since it uses less digits than its factorization.

226803528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 226803528 is about 15059.9976095616. The cubic root of 226803528 is about 609.8409761945.

The spelling of 226803528 in words is "two hundred twenty-six million, eight hundred three thousand, five hundred twenty-eight".