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2279152980 = 22325131951263
BaseRepresentation
bin1000011111011001…
…0001110101010100
312212211121222010100
42013312101311110
514131430343410
61014054054100
7110323323606
oct20766216524
95784558110
102279152980
11a6a582405
1253734a330
132a4256340
141789a3176
15d51548c0
hex87d91d54

2279152980 has 144 divisors (see below), whose sum is σ = 7837240320. Its totient is φ = 531484416.

The previous prime is 2279152963. The next prime is 2279152987. The reversal of 2279152980 is 892519722.

It is a happy number.

2279152980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2279152987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18829 + ... + 70091.

It is an arithmetic number, because the mean of its divisors is an integer number (54425280).

Almost surely, 22279152980 is an apocalyptic number.

2279152980 is a gapful number since it is divisible by the number (20) 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 2279152980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3918620160).

2279152980 is an abundant number, since it is smaller than the sum of its proper divisors (5558087340).

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

2279152980 is a wasteful number, since it uses less digits than its factorization.

2279152980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51310 (or 51305 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 2279152980 is about 47740.4752804159. The cubic root of 2279152980 is about 1316.0058672823.

The spelling of 2279152980 in words is "two billion, two hundred seventy-nine million, one hundred fifty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 30 36 38 39 45 52 57 60 65 76 78 90 95 114 117 130 156 171 180 190 195 228 234 247 260 285 342 380 390 468 494 570 585 684 741 780 855 988 1140 1170 1235 1482 1710 2223 2340 2470 2964 3420 3705 4446 4940 7410 8892 11115 14820 22230 44460 51263 102526 153789 205052 256315 307578 461367 512630 615156 666419 768945 922734 973997 1025260 1332838 1537890 1845468 1947994 1999257 2306835 2665676 2921991 3075780 3332095 3895988 3998514 4613670 4869985 5843982 5997771 6664190 7997028 8765973 9227340 9739970 9996285 11687964 11995542 12661961 13328380 14609955 17531946 19479940 19992570 23991084 25323922 29219910 29988855 35063892 37985883 39985140 43829865 50647844 58439820 59977710 63309805 75971766 87659730 113957649 119955420 126619610 151943532 175319460 189929415 227915298 253239220 379858830 455830596 569788245 759717660 1139576490 2279152980