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1228028064 = 253194116421
BaseRepresentation
bin100100100110010…
…0011100010100000
310011120202021210220
41021030203202200
510003333344224
6321504523040
742301031514
oct11114434240
93146667726
101228028064
1158020a72a
122a3320480
13167558a33
14b9148144
1572c25279
hex493238a0

1228028064 has 96 divisors (see below), whose sum is σ = 3476208960. Its totient is φ = 378316800.

The previous prime is 1228028047. The next prime is 1228028071. The reversal of 1228028064 is 4608208221.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66574 + ... + 82994.

It is an arithmetic number, because the mean of its divisors is an integer number (36210510).

Almost surely, 21228028064 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 1228028064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738104480).

1228028064 is an abundant number, since it is smaller than the sum of its proper divisors (2248180896).

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

1228028064 is a wasteful number, since it uses less digits than its factorization.

1228028064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16494 (or 16486 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 1228028064 is about 35043.2313578528. The cubic root of 1228028064 is about 1070.8683852176.

The spelling of 1228028064 in words is "one billion, two hundred twenty-eight million, twenty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 41 48 57 76 82 96 114 123 152 164 228 246 304 328 456 492 608 656 779 912 984 1312 1558 1824 1968 2337 3116 3936 4674 6232 9348 12464 16421 18696 24928 32842 37392 49263 65684 74784 98526 131368 197052 262736 311999 394104 525472 623998 673261 788208 935997 1247996 1346522 1576416 1871994 2019783 2495992 2693044 3743988 4039566 4991984 5386088 7487976 8079132 9983968 10772176 12791959 14975952 16158264 21544352 25583918 29951904 32316528 38375877 51167836 64633056 76751754 102335672 153503508 204671344 307007016 409342688 614014032 1228028064