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4283224980 = 2235107709941
BaseRepresentation
bin1111111101001100…
…1101001110010100
3102001111122101002020
43333103031032110
532233001144410
61545004213140
7211066545246
oct37723151624
912044571066
104283224980
1118a8850361
129b653a1b0
135334c7c68
142c8bdc096
151a106da70
hexff4cd394

4283224980 has 96 divisors (see below), whose sum is σ = 12135070080. Its totient is φ = 1128721920.

The previous prime is 4283224961. The next prime is 4283224997. The reversal of 4283224980 is 894223824.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4551310 + ... + 4552250.

It is an arithmetic number, because the mean of its divisors is an integer number (126406980).

Almost surely, 24283224980 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 4283224980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6067535040).

4283224980 is an abundant number, since it is smaller than the sum of its proper divisors (7851845100).

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

4283224980 is a wasteful number, since it uses less digits than its factorization.

4283224980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 4283224980 is about 65446.3519227772. The cubic root of 4283224980 is about 1624.0159697565.

The spelling of 4283224980 in words is "four billion, two hundred eighty-three million, two hundred twenty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 709 941 1070 1284 1418 1605 1882 2127 2140 2823 2836 3210 3545 3764 4254 4705 5646 6420 7090 8508 9410 10635 11292 14115 14180 18820 21270 28230 42540 56460 75863 100687 151726 201374 227589 302061 303452 379315 402748 455178 503435 604122 667169 758630 910356 1006870 1137945 1208244 1334338 1510305 1517260 2001507 2013740 2275890 2668676 3020610 3335845 4003014 4551780 6041220 6671690 8006028 10007535 13343380 20015070 40030140 71387083 142774166 214161249 285548332 356935415 428322498 713870830 856644996 1070806245 1427741660 2141612490 4283224980