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2242841880 = 23354728461
BaseRepresentation
bin1000010110101111…
…0000110100011000
312210022022011122210
42011223300310120
514043131420010
61010315515120
7106402561416
oct20553606430
95708264583
102242841880
11a51031334
12527158aa0
13299881896
14173c302b6
15d1d80b20
hex85af0d18

2242841880 has 96 divisors (see below), whose sum is σ = 6875544240. Its totient is φ = 585296640.

The previous prime is 2242841851. The next prime is 2242841891. The reversal of 2242841880 is 881482422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260850 + ... + 269310.

Almost surely, 22242841880 is an apocalyptic number.

2242841880 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 2242841880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437772120).

2242841880 is an abundant number, since it is smaller than the sum of its proper divisors (4632702360).

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

2242841880 is a wasteful number, since it uses less digits than its factorization.

2242841880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8569 (or 8518 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 39.

The square root of 2242841880 is about 47358.6515855340. The cubic root of 2242841880 is about 1308.9796222562.

The spelling of 2242841880 in words is "two billion, two hundred forty-two million, eight hundred forty-one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2209 2820 4418 5640 6627 8461 8836 11045 13254 16922 17672 22090 25383 26508 33135 33844 42305 44180 50766 53016 66270 67688 84610 88360 101532 126915 132540 169220 203064 253830 265080 338440 397667 507660 795334 1015320 1193001 1590668 1988335 2386002 3181336 3976670 4772004 5965005 7953340 9544008 11930010 15906680 18690349 23860020 37380698 47720040 56071047 74761396 93451745 112142094 149522792 186903490 224284188 280355235 373806980 448568376 560710470 747613960 1121420940 2242841880