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226395648 = 293453103
BaseRepresentation
bin11010111111010…
…00011000000000
3120210000002110000
431133220120000
5430424130043
634244240000
75416221423
oct1537503000
9523002400
10226395648
11106881446
12639a0000
1337b9982b
14220d39ba
1514d202d3
hexd7e8600

226395648 has 200 divisors, whose sum is σ = 695165328. Its totient is φ = 73322496.

The previous prime is 226395643. The next prime is 226395667. The reversal of 226395648 is 846593622.

226395648 is a `hidden beast` number, since 2 + 2 + 639 + 5 + 6 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226395643) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2197965 + ... + 2198067.

Almost surely, 2226395648 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 226395648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347582664).

226395648 is an abundant number, since it is smaller than the sum of its proper divisors (468769680).

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

226395648 is an equidigital number, since it uses as much as digits as its factorization.

226395648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 161 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 226395648 is about 15046.4496809048. The cubic root of 226395648 is about 609.4751805946.

The spelling of 226395648 in words is "two hundred twenty-six million, three hundred ninety-five thousand, six hundred forty-eight".