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228247008 = 25311331653
BaseRepresentation
bin11011001101011…
…00010111100000
3120220111011000220
431212230113200
5431412401013
634352043040
75441032113
oct1546542740
9526434026
10228247008
111079263a0
1264533480
1338397402
142245657a
1515088b23
hexd9ac5e0

228247008 has 96 divisors (see below), whose sum is σ = 656595072. Its totient is φ = 68851200.

The previous prime is 228247007. The next prime is 228247021. The reversal of 228247008 is 800742822.

228247008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 228247008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228247001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349210 + ... + 349862.

It is an arithmetic number, because the mean of its divisors is an integer number (6839532).

Almost surely, 2228247008 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 228247008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328297536).

228247008 is an abundant number, since it is smaller than the sum of its proper divisors (428348064).

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

228247008 is a wasteful number, since it uses less digits than its factorization.

228247008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 228247008 is about 15107.8459086661. The cubic root of 228247008 is about 611.1320088746.

The spelling of 228247008 in words is "two hundred twenty-eight million, two hundred forty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 331 352 528 653 662 993 1056 1306 1324 1959 1986 2612 2648 3641 3918 3972 5224 5296 7183 7282 7836 7944 10448 10592 10923 14366 14564 15672 15888 20896 21549 21846 28732 29128 31344 31776 43098 43692 57464 58256 62688 86196 87384 114928 116512 172392 174768 216143 229856 344784 349536 432286 648429 689568 864572 1296858 1729144 2377573 2593716 3458288 4755146 5187432 6916576 7132719 9510292 10374864 14265438 19020584 20749728 28530876 38041168 57061752 76082336 114123504 228247008