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10226880 = 263255367
BaseRepresentation
bin100111000000…
…110011000000
3201020120122100
4213000303000
510104230010
61003110400
7152632656
oct47006300
921216570
1010226880
115855674
123512400
132170c11
141502dd6
15d702c0
hex9c0cc0

10226880 has 168 divisors, whose sum is σ = 36374832. Its totient is φ = 2635776.

The previous prime is 10226863. The next prime is 10226891. The reversal of 10226880 is 8862201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152607 + ... + 152673.

Almost surely, 210226880 is an apocalyptic number.

10226880 is a gapful number since it is divisible by the number (10) 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 10226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18187416).

10226880 is an abundant number, since it is smaller than the sum of its proper divisors (26147952).

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

10226880 is a wasteful number, since it uses less digits than its factorization.

10226880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10226880 is about 3197.9493429384. The cubic root of 10226880 is about 217.0606270887.

The spelling of 10226880 in words is "ten million, two hundred twenty-six thousand, eight hundred eighty".