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228209826 = 23132733083
BaseRepresentation
bin11011001101000…
…11010010100010
3120220102021000210
431212203102202
5431410203301
634351154550
75440515525
oct1546432242
9526367023
10228209826
11107900469
1264515a56
1338383500
1422446bbc
151507cad6
hexd9a34a2

228209826 has 48 divisors (see below), whose sum is σ = 501162336. Its totient is φ = 69234048.

The previous prime is 228209809. The next prime is 228209827. The reversal of 228209826 is 628902822.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (228209827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72481 + ... + 75563.

It is an arithmetic number, because the mean of its divisors is an integer number (10440882).

Almost surely, 2228209826 is an apocalyptic number.

228209826 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 228209826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250581168).

228209826 is an abundant number, since it is smaller than the sum of its proper divisors (272952510).

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

228209826 is a wasteful number, since it uses less digits than its factorization.

228209826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3187 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 228209826 is about 15106.6153058850. The cubic root of 228209826 is about 611.0988221024.

The spelling of 228209826 in words is "two hundred twenty-eight million, two hundred nine thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 73 78 146 169 219 338 438 507 949 1014 1898 2847 3083 5694 6166 9249 12337 18498 24674 37011 40079 74022 80158 120237 225059 240474 450118 521027 675177 1042054 1350354 1563081 2925767 3126162 5851534 8777301 17554602 38034971 76069942 114104913 228209826