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228876496 = 24232232789
BaseRepresentation
bin11011010010001…
…10000011010000
3120221200010112021
431221012003100
5432043021441
634413341224
75446263262
oct1551060320
9527603467
10228876496
11108216332
1264797814
1338557aa4
142257bb32
15151603d1
hexda460d0

228876496 has 40 divisors (see below), whose sum is σ = 464970240. Its totient is φ = 108932736.

The previous prime is 228876463. The next prime is 228876521. The reversal of 228876496 is 694678822.

228876496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80670 + ... + 83458.

It is an arithmetic number, because the mean of its divisors is an integer number (11624256).

Almost surely, 2228876496 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 228876496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232485120).

228876496 is an abundant number, since it is smaller than the sum of its proper divisors (236093744).

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

228876496 is a wasteful number, since it uses less digits than its factorization.

228876496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3043 (or 3037 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 52.

The square root of 228876496 is about 15128.6647130538. The cubic root of 228876496 is about 611.6933118130.

The spelling of 228876496 in words is "two hundred twenty-eight million, eight hundred seventy-six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 23 46 92 184 223 368 446 892 1784 2789 3568 5129 5578 10258 11156 20516 22312 41032 44624 64147 82064 128294 256588 513176 621947 1026352 1243894 2487788 4975576 9951152 14304781 28609562 57219124 114438248 228876496