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2275545216 = 27371038219
BaseRepresentation
bin1000011110100010…
…0001000010000000
312212120211200012110
42013220201002000
514130014421331
61013444455320
7110250546420
oct20750410200
95776750173
102275545216
11a6853888a
125360aa540
132a3592179
14178304480
15d4b90946
hex87a21080

2275545216 has 128 divisors (see below), whose sum is σ = 6975820800. Its totient is φ = 643765248.

The previous prime is 2275545199. The next prime is 2275545257. The reversal of 2275545216 is 6125455722.

It is a tau number, because it is divible by the number of its divisors (128).

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, 272755 + ... + 280973.

It is an arithmetic number, because the mean of its divisors is an integer number (54498600).

Almost surely, 22275545216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2275545216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3487910400).

2275545216 is an abundant number, since it is smaller than the sum of its proper divisors (4700275584).

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

2275545216 is a wasteful number, since it uses less digits than its factorization.

2275545216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8346 (or 8334 counting only the distinct ones).

The product of its digits is 168000, while the sum is 39.

The square root of 2275545216 is about 47702.6751451111. The cubic root of 2275545216 is about 1315.3111141553.

The spelling of 2275545216 in words is "two billion, two hundred seventy-five million, five hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 103 112 128 168 192 206 224 309 336 384 412 448 618 672 721 824 896 1236 1344 1442 1648 2163 2472 2688 2884 3296 4326 4944 5768 6592 8219 8652 9888 11536 13184 16438 17304 19776 23072 24657 32876 34608 39552 46144 49314 57533 65752 69216 92288 98628 115066 131504 138432 172599 197256 230132 263008 276864 345198 394512 460264 526016 690396 789024 846557 920528 1052032 1380792 1578048 1693114 1841056 2539671 2761584 3156096 3386228 3682112 5079342 5523168 5925899 6772456 7364224 10158684 11046336 11851798 13544912 17777697 20317368 22092672 23703596 27089824 35555394 40634736 47407192 54179648 71110788 81269472 94814384 108359296 142221576 162538944 189628768 284443152 325077888 379257536 568886304 758515072 1137772608 2275545216