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228176016 = 24319793167
BaseRepresentation
bin11011001100110…
…11000010010000
3120220100112122120
431212123002100
5431403113031
634350334240
75440315125
oct1546330220
9526315576
10228176016
11107888022
12644ba380
1338370cc3
142243874c
1515072a96
hexd99b090

228176016 has 80 divisors (see below), whose sum is σ = 628531200. Its totient is φ = 71121024.

The previous prime is 228175999. The next prime is 228176059. The reversal of 228176016 is 610671822.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70465 + ... + 73631.

It is an arithmetic number, because the mean of its divisors is an integer number (7856640).

Almost surely, 2228176016 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 228176016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314265600).

228176016 is an abundant number, since it is smaller than the sum of its proper divisors (400355184).

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

228176016 is a wasteful number, since it uses less digits than its factorization.

228176016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3276 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 228176016 is about 15105.4962182644. The cubic root of 228176016 is about 611.0686418776.

The spelling of 228176016 in words is "two hundred twenty-eight million, one hundred seventy-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 79 114 152 158 228 237 304 316 456 474 632 912 948 1264 1501 1896 3002 3167 3792 4503 6004 6334 9006 9501 12008 12668 18012 19002 24016 25336 36024 38004 50672 60173 72048 76008 120346 152016 180519 240692 250193 361038 481384 500386 722076 750579 962768 1000772 1444152 1501158 2001544 2888304 3002316 4003088 4753667 6004632 9507334 12009264 14261001 19014668 28522002 38029336 57044004 76058672 114088008 228176016