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1228004224 = 2723449929
BaseRepresentation
bin100100100110001…
…1101101110000000
310011120201002002221
41021030131232000
510003332113344
6321504220424
742300602146
oct11114355600
93146632087
101228004224
115801a3827
122a330a714
1316754ac25
14b913d596
1572c1d184
hex4931db80

1228004224 has 64 divisors (see below), whose sum is σ = 2561220000. Its totient is φ = 585367552.

The previous prime is 1228004221. The next prime is 1228004233. The reversal of 1228004224 is 4224008221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1228004221) 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 7 ways as a sum of consecutive naturals, for example, 1321392 + ... + 1322320.

Almost surely, 21228004224 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 1228004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280610000).

1228004224 is an abundant number, since it is smaller than the sum of its proper divisors (1333215776).

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

1228004224 is an equidigital number, since it uses as much as digits as its factorization.

1228004224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 1228004224 is about 35042.8912049220. The cubic root of 1228004224 is about 1070.8614554988.

The spelling of 1228004224 in words is "one billion, two hundred twenty-eight million, four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 449 736 898 929 1472 1796 1858 2944 3592 3716 7184 7432 10327 14368 14864 20654 21367 28736 29728 41308 42734 57472 59456 82616 85468 118912 165232 170936 330464 341872 417121 660928 683744 834242 1321856 1367488 1668484 2734976 3336968 6673936 9593783 13347872 19187566 26695744 38375132 53391488 76750264 153500528 307001056 614002112 1228004224