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226702080 = 28325111789
BaseRepresentation
bin11011000001100…
…11001100000000
3120210120122210100
431200303030000
5431013431310
634255002400
75421636003
oct1540631400
9523518710
10226702080
11106a706a0
1263b09400
1337c76157
142217353a
1514d80ec0
hexd833300

226702080 has 216 divisors, whose sum is σ = 856149840. Its totient is φ = 54927360.

The previous prime is 226702057. The next prime is 226702081. The reversal of 226702080 is 80207622.

226702080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226702081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125826 + ... + 127614.

Almost surely, 2226702080 is an apocalyptic number.

226702080 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 226702080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428074920).

226702080 is an abundant number, since it is smaller than the sum of its proper divisors (629447760).

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

226702080 is a wasteful number, since it uses less digits than its factorization.

226702080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 226702080 is about 15056.6291048163. The cubic root of 226702080 is about 609.7500364364.

The spelling of 226702080 in words is "two hundred twenty-six million, seven hundred two thousand, eighty".