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2280262020 = 22351721071229
BaseRepresentation
bin1000011111101010…
…0000100110000100
312212220201022102220
42013322200212010
514132221341040
61014133532340
7110335623141
oct20772404604
95786638386
102280262020
11a7016a673
125377a40b0
132a455408a
14178bb13c8
15d52c32d0
hex87ea0984

2280262020 has 144 divisors (see below), whose sum is σ = 6851355840. Its totient is φ = 566491136.

The previous prime is 2280261941. The next prime is 2280262063. The reversal of 2280262020 is 202620822.

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 47 ways as a sum of consecutive naturals, for example, 1854766 + ... + 1855994.

It is an arithmetic number, because the mean of its divisors is an integer number (47578860).

Almost surely, 22280262020 is an apocalyptic number.

2280262020 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 2280262020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425677920).

2280262020 is an abundant number, since it is smaller than the sum of its proper divisors (4571093820).

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

2280262020 is a wasteful number, since it uses less digits than its factorization.

2280262020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2280262020 is about 47752.0891689568. The cubic root of 2280262020 is about 1316.2192896211.

Adding to 2280262020 its reverse (202620822), we get a palindrome (2482882842).

The spelling of 2280262020 in words is "two billion, two hundred eighty million, two hundred sixty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 107 170 204 214 255 289 321 340 428 510 535 578 642 867 1020 1070 1156 1229 1284 1445 1605 1734 1819 2140 2458 2890 3210 3468 3638 3687 4335 4916 5457 5780 6145 6420 7276 7374 8670 9095 10914 12290 14748 17340 18190 18435 20893 21828 24580 27285 30923 36380 36870 41786 54570 61846 62679 73740 83572 92769 104465 109140 123692 125358 131503 154615 185538 208930 250716 263006 309230 313395 355181 371076 394509 417860 463845 526012 618460 626790 657515 710362 789018 927690 1065543 1253580 1315030 1420724 1578036 1775905 1855380 1972545 2131086 2235551 2630060 3551810 3945090 4262172 4471102 5327715 6706653 7103620 7890180 8942204 10655430 11177755 13413306 21310860 22355510 26826612 33533265 38004367 44711020 67066530 76008734 114013101 134133060 152017468 190021835 228026202 380043670 456052404 570065505 760087340 1140131010 2280262020