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1228364544 = 28311971499
BaseRepresentation
bin100100100110111…
…0101101100000000
310011121101101101010
41021031311230000
510003430131134
6321520040520
742303632511
oct11115655400
93147341333
101228364544
1158041a510
122a3463140
13167645c34
14b91d4a08
1572c8ece9
hex49375b00

1228364544 has 144 divisors (see below), whose sum is σ = 3605616000. Its totient is φ = 368148480.

The previous prime is 1228364509. The next prime is 1228364567. The reversal of 1228364544 is 4454638221.

It is an unprimeable number.

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, 818707 + ... + 820205.

It is an arithmetic number, because the mean of its divisors is an integer number (25039000).

Almost surely, 21228364544 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 1228364544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802808000).

1228364544 is an abundant number, since it is smaller than the sum of its proper divisors (2377251456).

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

1228364544 is a wasteful number, since it uses less digits than its factorization.

1228364544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1612 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 1228364544 is about 35048.0319561598. The cubic root of 1228364544 is about 1070.9661823555.

The spelling of 1228364544 in words is "one billion, two hundred twenty-eight million, three hundred sixty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 97 128 132 176 192 194 256 264 291 352 384 388 528 582 704 768 776 1056 1067 1164 1408 1499 1552 2112 2134 2328 2816 2998 3104 3201 4224 4268 4497 4656 5996 6208 6402 8448 8536 8994 9312 11992 12416 12804 16489 17072 17988 18624 23984 24832 25608 32978 34144 35976 37248 47968 49467 51216 65956 68288 71952 74496 95936 98934 102432 131912 136576 143904 145403 191872 197868 204864 263824 273152 287808 290806 383744 395736 409728 436209 527648 575616 581612 791472 819456 872418 1055296 1151232 1163224 1582944 1599433 1744836 2110592 2326448 3165888 3198866 3489672 4221184 4652896 4798299 6331776 6397732 6979344 9305792 9596598 12663552 12795464 13958688 18611584 19193196 25590928 27917376 37223168 38386392 51181856 55834752 76772784 102363712 111669504 153545568 204727424 307091136 409454848 614182272 1228364544