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228726912 = 2733171879
BaseRepresentation
bin11011010001000…
…01100010000000
3120221101112100010
431220201202000
5432023230122
634410224520
75445101211
oct1550414200
9527345303
10228726912
11108123a07
1264725140
133850498b
142253d408
1515130e0c
hexda21880

228726912 has 64 divisors (see below), whose sum is σ = 609796800. Its totient is φ = 75961344.

The previous prime is 228726887. The next prime is 228726913. The reversal of 228726912 is 219627822.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (228726913) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120789 + ... + 122667.

It is an arithmetic number, because the mean of its divisors is an integer number (9528075).

Almost surely, 2228726912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228726912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304898400).

228726912 is an abundant number, since it is smaller than the sum of its proper divisors (381069888).

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

228726912 is a wasteful number, since it uses less digits than its factorization.

228726912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2201 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 228726912 is about 15123.7201772580. The cubic root of 228726912 is about 611.5600238103.

The spelling of 228726912 in words is "two hundred twenty-eight million, seven hundred twenty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 317 384 634 951 1268 1879 1902 2536 3758 3804 5072 5637 7516 7608 10144 11274 15032 15216 20288 22548 30064 30432 40576 45096 60128 60864 90192 120256 121728 180384 240512 360768 595643 721536 1191286 1786929 2382572 3573858 4765144 7147716 9530288 14295432 19060576 28590864 38121152 57181728 76242304 114363456 228726912