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2280148080 = 2435710313177
BaseRepresentation
bin1000011111101000…
…0100110001110000
312212220111112010220
42013322010301300
514132204214310
61014131253040
7110334640020
oct20772046160
95786445126
102280148080
11a700a2001
1253774a180
132a4514262
14178b81a80
15d529e670
hex87e84c70

2280148080 has 160 divisors (see below), whose sum is σ = 8157287424. Its totient is φ = 516077568.

The previous prime is 2280148037. The next prime is 2280148081. The reversal of 2280148080 is 808410822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2280148081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166452 + ... + 179628.

Almost surely, 22280148080 is an apocalyptic number.

2280148080 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 2280148080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4078643712).

2280148080 is an abundant number, since it is smaller than the sum of its proper divisors (5877139344).

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

2280148080 is a wasteful number, since it uses less digits than its factorization.

2280148080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13303 (or 13297 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 2280148080 is about 47750.8961172458. The cubic root of 2280148080 is about 1316.1973663330.

The spelling of 2280148080 in words is "two billion, two hundred eighty million, one hundred forty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 103 105 112 120 140 168 206 210 240 280 309 336 412 420 515 560 618 721 824 840 1030 1236 1442 1545 1648 1680 2060 2163 2472 2884 3090 3605 4120 4326 4944 5768 6180 7210 8240 8652 10815 11536 12360 13177 14420 17304 21630 24720 26354 28840 34608 39531 43260 52708 57680 65885 79062 86520 92239 105416 131770 158124 173040 184478 197655 210832 263540 276717 316248 368956 395310 461195 527080 553434 632496 737912 790620 922390 1054160 1106868 1357231 1383585 1475824 1581240 1844780 2213736 2714462 2767170 3162480 3689560 4071693 4427472 5428924 5534340 6786155 7379120 8143386 9500617 10857848 11068680 13572310 16286772 19001234 20358465 21715696 22137360 27144620 28501851 32573544 38002468 40716930 47503085 54289240 57003702 65147088 76004936 81433860 95006170 108578480 114007404 142509255 152009872 162867720 190012340 228014808 285018510 325735440 380024680 456029616 570037020 760049360 1140074040 2280148080