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2289870336 = 29313412797
BaseRepresentation
bin1000100001111100…
…1010011000000000
312220120210110120110
42020133022120000
514142201322321
61015115511320
7110513401545
oct21037123000
95816713513
102289870336
11a75632526
1253aa58540
132a6539580
1417a192bcc
15d6070176
hex887ca600

2289870336 has 160 divisors (see below), whose sum is σ = 6732256608. Its totient is φ = 687144960.

The previous prime is 2289870313. The next prime is 2289870383. The reversal of 2289870336 is 6330789822.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 817290 + ... + 820086.

Almost surely, 22289870336 is an apocalyptic number.

2289870336 is a gapful number since it is divisible by the number (26) 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 2289870336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366128304).

2289870336 is an abundant number, since it is smaller than the sum of its proper divisors (4442386272).

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

2289870336 is a wasteful number, since it uses less digits than its factorization.

2289870336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 2289870336 is about 47852.5896477923. The cubic root of 2289870336 is about 1318.0654121566.

The spelling of 2289870336 in words is "two billion, two hundred eighty-nine million, eight hundred seventy thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 64 78 82 96 104 123 128 156 164 192 208 246 256 312 328 384 416 492 512 533 624 656 768 832 984 1066 1248 1312 1536 1599 1664 1968 2132 2496 2624 2797 3198 3328 3936 4264 4992 5248 5594 6396 6656 7872 8391 8528 9984 10496 11188 12792 15744 16782 17056 19968 20992 22376 25584 31488 33564 34112 36361 44752 51168 62976 67128 68224 72722 89504 102336 109083 114677 134256 136448 145444 179008 204672 218166 229354 268512 272896 290888 344031 358016 409344 436332 458708 537024 581776 688062 716032 818688 872664 917416 1074048 1163552 1376124 1432064 1490801 1745328 1834832 2148096 2327104 2752248 2981602 3490656 3669664 4296192 4472403 4654208 5504496 5963204 6981312 7339328 8944806 9308416 11008992 11926408 13962624 14678656 17889612 18616832 22017984 23852816 27925248 29357312 35779224 44035968 47705632 55850496 58714624 71558448 88071936 95411264 143116896 176143872 190822528 286233792 381645056 572467584 763290112 1144935168 2289870336