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225628028976 = 243710718134673
BaseRepresentation
bin1101001000100001111…
…0101000000000110000
3210120101101221110002210
43102020132220000300
512144041233411401
6251352503412120
722205162413440
oct3221036500060
9716341843083
10225628028976
118776315a739
123788a454040
13183799b606c
14acc5a2a120
155d0834e4d6
hex34887a8030

225628028976 has 160 divisors (see below), whose sum is σ = 676099726848. Its totient is φ = 63508008960.

The previous prime is 225628028963. The next prime is 225628028993. The reversal of 225628028976 is 679820826522.

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 31 ways as a sum of consecutive naturals, for example, 6489976 + ... + 6524648.

Almost surely, 2225628028976 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 225628028976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338049863424).

225628028976 is an abundant number, since it is smaller than the sum of its proper divisors (450471697872).

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

225628028976 is a wasteful number, since it uses less digits than its factorization.

225628028976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34979 (or 34973 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 225628028976 in words is "two hundred twenty-five billion, six hundred twenty-eight million, twenty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 107 112 168 181 214 321 336 362 428 543 642 724 749 856 1086 1267 1284 1448 1498 1712 2172 2247 2534 2568 2896 2996 3801 4344 4494 5068 5136 5992 7602 8688 8988 10136 11984 15204 17976 19367 20272 30408 34673 35952 38734 58101 60816 69346 77468 104019 116202 135569 138692 154936 208038 232404 242711 271138 277384 309872 406707 416076 464808 485422 542276 554768 728133 813414 832152 929616 970844 1084552 1456266 1626828 1664304 1941688 2169104 2912532 3253656 3710011 3883376 5825064 6275813 6507312 7420022 11130033 11650128 12551626 14840044 18827439 22260066 25103252 25970077 29680088 37654878 43930691 44520132 50206504 51940154 59360176 75309756 77910231 87861382 89040264 100413008 103880308 131792073 150619512 155820462 175722764 178080528 207760616 263584146 301239024 311640924 351445528 415521232 527168292 623281848 671511991 702891056 1054336584 1246563696 1343023982 2014535973 2108673168 2686047964 4029071946 4700583937 5372095928 8058143892 9401167874 10744191856 14101751811 16116287784 18802335748 28203503622 32232575568 37604671496 56407007244 75209342992 112814014488 225628028976