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226414500 = 223531317683
BaseRepresentation
bin11010111111011…
…00111110100100
3120210001001022020
431133230332210
5430430231000
634244503140
75416330404
oct1537547644
9523031266
10226414500
11106894624
12639aaab0
1337ba52a0
14220da804
1514d25ba0
hexd7ecfa4

226414500 has 192 divisors, whose sum is σ = 752903424. Its totient is φ = 52377600.

The previous prime is 226414481. The next prime is 226414501. The reversal of 226414500 is 5414622.

It is not an unprimeable number, because it can be changed into a prime (226414501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 331159 + ... + 331841.

It is an arithmetic number, because the mean of its divisors is an integer number (3921372).

Almost surely, 2226414500 is an apocalyptic number.

226414500 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 226414500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376451712).

226414500 is an abundant number, since it is smaller than the sum of its proper divisors (526488924).

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

226414500 is a wasteful number, since it uses less digits than its factorization.

226414500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 226414500 is about 15047.0761279393. The cubic root of 226414500 is about 609.4920971554.

The spelling of 226414500 in words is "two hundred twenty-six million, four hundred fourteen thousand, five hundred".