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1223128984 = 2372112107241
BaseRepresentation
bin100100011100111…
…0111011110011000
310011020112101112111
41020321313132120
510001110111414
6321211522104
742211265500
oct11071673630
93136471474
101223128984
11578473a00
122a1759334
13166531b7c
14b8630a00
15725a88c4
hex48e77798

1223128984 has 144 divisors (see below), whose sum is σ = 2972055240. Its totient is φ = 470131200.

The previous prime is 1223128981. The next prime is 1223128993. The reversal of 1223128984 is 4898213221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223128981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5075104 + ... + 5075344.

Almost surely, 21223128984 is an apocalyptic number.

1223128984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1223128984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486027620).

1223128984 is an abundant number, since it is smaller than the sum of its proper divisors (1748926256).

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

1223128984 is a wasteful number, since it uses less digits than its factorization.

1223128984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 368 counting only the distinct ones).

The product of its digits is 55296, while the sum is 40.

The square root of 1223128984 is about 34973.2609860733. The cubic root of 1223128984 is about 1069.4424509592.

The spelling of 1223128984 in words is "one billion, two hundred twenty-three million, one hundred twenty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 107 121 154 196 214 241 242 308 392 428 482 484 539 616 749 847 856 964 968 1078 1177 1498 1687 1694 1928 2156 2354 2651 2996 3374 3388 4312 4708 5243 5302 5929 5992 6748 6776 8239 9416 10486 10604 11809 11858 12947 13496 16478 18557 20972 21208 23618 23716 25787 25894 29161 32956 37114 41944 47236 47432 51574 51788 57673 58322 65912 74228 90629 94472 103148 103576 115346 116644 129899 148456 180509 181258 204127 206296 230692 233288 259798 283657 361018 362516 408254 461384 519596 567314 634403 722036 725032 816508 1039192 1134628 1263563 1268806 1428889 1444072 1633016 1985599 2269256 2527126 2537612 2857778 3120227 3971198 5054252 5075224 5715556 6240454 7942396 10108504 11431112 12480908 13899193 15884792 21841589 24961816 27798386 43683178 55596772 87366356 111193544 152891123 174732712 305782246 611564492 1223128984