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228043824 = 24373151431
BaseRepresentation
bin11011001011110…
…10110000110000
3120220002211022120
431211322300300
5431334400244
634343434240
75436224541
oct1545726060
9526084276
10228043824
111077a7778
1264455980
1338325a98
14224024c8
1515048819
hexd97ac30

228043824 has 80 divisors (see below), whose sum is σ = 602532864. Its totient is φ = 74304000.

The previous prime is 228043819. The next prime is 228043841. The reversal of 228043824 is 428340822.

228043824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 528889 + ... + 529319.

Almost surely, 2228043824 is an apocalyptic number.

228043824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228043824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301266432).

228043824 is an abundant number, since it is smaller than the sum of its proper divisors (374489040).

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

228043824 is a wasteful number, since it uses less digits than its factorization.

228043824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 228043824 is about 15101.1199584667. The cubic root of 228043824 is about 610.9506131268.

The spelling of 228043824 in words is "two hundred twenty-eight million, forty-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 151 219 292 302 431 438 453 584 604 862 876 906 1168 1208 1293 1724 1752 1812 2416 2586 3448 3504 3624 5172 6896 7248 10344 11023 20688 22046 31463 33069 44092 62926 65081 66138 88184 94389 125852 130162 132276 176368 188778 195243 251704 260324 264552 377556 390486 503408 520648 529104 755112 780972 1041296 1510224 1561944 3123888 4750913 9501826 14252739 19003652 28505478 38007304 57010956 76014608 114021912 228043824