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2269234656 = 253313215541
BaseRepresentation
bin1000011101000001…
…1100010111100000
312212010222001202000
42013100130113200
514121411002111
61013101324000
7110143114323
oct20720342740
95763861660
102269234656
11a64a18647
12533b66600
132a2192a00
141775407ba
15d4345c56
hex8741c5e0

2269234656 has 144 divisors (see below), whose sum is σ = 7167348720. Its totient is φ = 698181120.

The previous prime is 2269234637. The next prime is 2269234661. The reversal of 2269234656 is 6564329622.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 138246 + ... + 153786.

It is an arithmetic number, because the mean of its divisors is an integer number (49773255).

Almost surely, 22269234656 is an apocalyptic number.

2269234656 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 2269234656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583674360).

2269234656 is an abundant number, since it is smaller than the sum of its proper divisors (4898114064).

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

2269234656 is a wasteful number, since it uses less digits than its factorization.

2269234656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15586 (or 15559 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 2269234656 is about 47636.4845050514. The cubic root of 2269234656 is about 1314.0941113970.

The spelling of 2269234656 in words is "two billion, two hundred sixty-nine million, two hundred thirty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 169 208 216 234 288 312 338 351 416 432 468 507 624 676 702 864 936 1014 1248 1352 1404 1521 1872 2028 2704 2808 3042 3744 4056 4563 5408 5616 6084 8112 9126 11232 12168 15541 16224 18252 24336 31082 36504 46623 48672 62164 73008 93246 124328 139869 146016 186492 202033 248656 279738 372984 404066 419607 497312 559476 606099 745968 808132 839214 1118952 1212198 1491936 1616264 1678428 1818297 2237904 2424396 2626429 3232528 3356856 3636594 4475808 4848792 5252858 5454891 6465056 6713712 7273188 7879287 9697584 10505716 10909782 13427424 14546376 15758574 19395168 21011432 21819564 23637861 29092752 31517148 42022864 43639128 47275722 58185504 63034296 70913583 84045728 87278256 94551444 126068592 141827166 174556512 189102888 252137184 283654332 378205776 567308664 756411552 1134617328 2269234656