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226485000 = 2332547719
BaseRepresentation
bin11010111111111…
…10001100001000
3120210011122000100
431133332030020
5430440010000
634250205400
75420043060
oct1537761410
9523148010
10226485000
11106932595
1263a23860
1337bcb3c1
14221183a0
1514d3ba00
hexd7fe308

226485000 has 240 divisors, whose sum is σ = 877219200. Its totient is φ = 51696000.

The previous prime is 226484989. The next prime is 226485001. The reversal of 226485000 is 584622.

It is not an unprimeable number, because it can be changed into a prime (226485001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 314641 + ... + 315359.

It is an arithmetic number, because the mean of its divisors is an integer number (3655080).

Almost surely, 2226485000 is an apocalyptic number.

226485000 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 226485000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438609600).

226485000 is an abundant number, since it is smaller than the sum of its proper divisors (650734200).

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

226485000 is a wasteful number, since it uses less digits than its factorization.

226485000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 226485000 is about 15049.4185934208. The cubic root of 226485000 is about 609.5553509572. Note that the first 3 decimals are identical.

The spelling of 226485000 in words is "two hundred twenty-six million, four hundred eighty-five thousand".