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2289486144 = 263117431459
BaseRepresentation
bin1000100001110110…
…1100100101000000
312220120001221120010
42020131230211000
514142102024034
61015103344520
7110510211501
oct21035544500
95816057503
102289486144
11a7539a910
1253a8b2140
132a643373a
1417a0d2ba8
15d5ee63e9
hex8876c940

2289486144 has 112 divisors (see below), whose sum is σ = 6621719040. Its totient is φ = 692375040.

The previous prime is 2289486119. The next prime is 2289486151. The reversal of 2289486144 is 4416849822.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2289486093 and 2289486102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1568487 + ... + 1569945.

Almost surely, 22289486144 is an apocalyptic number.

2289486144 is a gapful number since it is divisible by the number (24) 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 2289486144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310859520).

2289486144 is an abundant number, since it is smaller than the sum of its proper divisors (4332232896).

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

2289486144 is a wasteful number, since it uses less digits than its factorization.

2289486144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2218 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 2289486144 is about 47848.5751511996. The cubic root of 2289486144 is about 1317.9916934978.

The spelling of 2289486144 in words is "two billion, two hundred eighty-nine million, four hundred eighty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 743 1056 1459 1486 2112 2229 2918 2972 4377 4458 5836 5944 8173 8754 8916 11672 11888 16049 16346 17508 17832 23344 23776 24519 32098 32692 35016 35664 46688 47552 48147 49038 64196 65384 70032 71328 93376 96294 98076 128392 130768 140064 142656 192588 196152 256784 261536 280128 385176 392304 513568 523072 770352 784608 1027136 1084037 1540704 1569216 2168074 3081408 3252111 4336148 6504222 8672296 11924407 13008444 17344592 23848814 26016888 34689184 35773221 47697628 52033776 69378368 71546442 95395256 104067552 143092884 190790512 208135104 286185768 381581024 572371536 763162048 1144743072 2289486144