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228473472 = 27317311129
BaseRepresentation
bin11011001111000…
…11101010000000
3120220220122200110
431213203222000
5431442122342
634400551320
75442664263
oct1547435200
9526818613
10228473472
11107a70557
1264622540
1338446506
14224b4cda
15150d0c9c
hexd9e3a80

228473472 has 128 divisors (see below), whose sum is σ = 663897600. Its totient is φ = 69304320.

The previous prime is 228473459. The next prime is 228473473. The reversal of 228473472 is 274374822.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 228473472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228473473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201804 + ... + 202932.

It is an arithmetic number, because the mean of its divisors is an integer number (5186700).

Almost surely, 2228473472 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 228473472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331948800).

228473472 is an abundant number, since it is smaller than the sum of its proper divisors (435424128).

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

228473472 is a wasteful number, since it uses less digits than its factorization.

228473472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1182 counting only the distinct ones).

The product of its digits is 150528, while the sum is 39.

The square root of 228473472 is about 15115.3389641119. The cubic root of 228473472 is about 611.3340613979.

The spelling of 228473472 in words is "two hundred twenty-eight million, four hundred seventy-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 64 68 93 96 102 124 128 136 186 192 204 248 272 372 384 408 496 527 544 744 816 992 1054 1088 1129 1488 1581 1632 1984 2108 2176 2258 2976 3162 3264 3387 3968 4216 4516 5952 6324 6528 6774 8432 9032 11904 12648 13548 16864 18064 19193 25296 27096 33728 34999 36128 38386 50592 54192 57579 67456 69998 72256 76772 101184 104997 108384 115158 139996 144512 153544 202368 209994 216768 230316 279992 307088 419988 433536 460632 559984 594983 614176 839976 921264 1119968 1189966 1228352 1679952 1784949 1842528 2239936 2379932 2456704 3359904 3569898 3685056 4479872 4759864 6719808 7139796 7370112 9519728 13439616 14279592 19039456 28559184 38078912 57118368 76157824 114236736 228473472