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226976256 = 293413421
BaseRepresentation
bin11011000011101…
…10001000000000
3120211002120220000
431201312020000
5431101220011
634304520000
75424160233
oct1541661000
9524076800
10226976256
11107138691
1264020000
1338040ba0
142220541a
1514dd7356
hexd876200

226976256 has 200 divisors, whose sum is σ = 731309964. Its totient is φ = 69672960.

The previous prime is 226976227. The next prime is 226976273. The reversal of 226976256 is 652679622.

It can be written as a sum of positive squares in 2 ways, for example, as 164249856 + 62726400 = 12816^2 + 7920^2 .

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 538926 + ... + 539346.

Almost surely, 2226976256 is an apocalyptic number.

226976256 is a gapful number since it is divisible by the number (26) 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 226976256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365654982).

226976256 is an abundant number, since it is smaller than the sum of its proper divisors (504333708).

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

226976256 is an equidigital number, since it uses as much as digits as its factorization.

226976256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 439 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 226976256 is about 15065.7311803975. The cubic root of 226976256 is about 609.9957502167.

The spelling of 226976256 in words is "two hundred twenty-six million, nine hundred seventy-six thousand, two hundred fifty-six".