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228225426 = 231113461577
BaseRepresentation
bin11011001101001…
…11000110010010
3120220110001102120
431212213012102
5431411203201
634351355110
75440612152
oct1546470622
9526401376
10228225426
11107911160
1264522a96
133838a640
142244c762
1515082536
hexd9a7192

228225426 has 64 divisors (see below), whose sum is σ = 538344576. Its totient is φ = 63590400.

The previous prime is 228225421. The next prime is 228225463. The reversal of 228225426 is 624522822.

228225426 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (228225421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395250 + ... + 395826.

It is an arithmetic number, because the mean of its divisors is an integer number (8411634).

Almost surely, 2228225426 is an apocalyptic number.

228225426 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 228225426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269172288).

228225426 is an abundant number, since it is smaller than the sum of its proper divisors (310119150).

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

228225426 is a wasteful number, since it uses less digits than its factorization.

228225426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067.

The product of its digits is 30720, while the sum is 33.

The square root of 228225426 is about 15107.1316271488. The cubic root of 228225426 is about 611.1127463121.

The spelling of 228225426 in words is "two hundred twenty-eight million, two hundred twenty-five thousand, four hundred twenty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 461 577 858 922 1154 1383 1731 2766 3462 5071 5993 6347 7501 10142 11986 12694 15002 15213 17979 19041 22503 30426 35958 38082 45006 65923 82511 131846 165022 197769 247533 265997 395538 495066 531994 797991 1595982 2925967 3457961 5851934 6915922 8777901 10373883 17555802 20747766 38037571 76075142 114112713 228225426