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2272565856 = 253112316311
BaseRepresentation
bin1000011101110100…
…1001101001100000
312212101020022021210
42013131021221200
514123234101411
61013300550120
7110213330301
oct20735115140
95771208253
102272565856
11a66893400
125350b2340
132a2a8b032
14177b6a7a8
15d47a2ca6
hex87749a60

2272565856 has 144 divisors (see below), whose sum is σ = 6769695744. Its totient is φ = 666336000.

The previous prime is 2272565849. The next prime is 2272565873. The reversal of 2272565856 is 6585652722.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356941 + ... + 363251.

It is an arithmetic number, because the mean of its divisors is an integer number (47011776).

Almost surely, 22272565856 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 2272565856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384847872).

2272565856 is an abundant number, since it is smaller than the sum of its proper divisors (4497129888).

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

2272565856 is a wasteful number, since it uses less digits than its factorization.

2272565856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6377 (or 6358 counting only the distinct ones).

The product of its digits is 2016000, while the sum is 48.

The square root of 2272565856 is about 47671.4364793007. The cubic root of 2272565856 is about 1314.7368200153.

The spelling of 2272565856 in words is "two billion, two hundred seventy-two million, five hundred sixty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 88 93 96 121 124 132 176 186 242 248 264 341 352 363 372 484 496 528 682 726 744 968 992 1023 1056 1364 1452 1488 1936 2046 2728 2904 2976 3751 3872 4092 5456 5808 6311 7502 8184 10912 11253 11616 12622 15004 16368 18933 22506 25244 30008 32736 37866 45012 50488 60016 69421 75732 90024 100976 120032 138842 151464 180048 195641 201952 208263 277684 302928 360096 391282 416526 555368 586923 605856 763631 782564 833052 1110736 1173846 1527262 1565128 1666104 2152051 2221472 2290893 2347692 3054524 3130256 3332208 4304102 4581786 4695384 6109048 6260512 6456153 6664416 8608204 9163572 9390768 12218096 12912306 17216408 18327144 18781536 23672561 24436192 25824612 34432816 36654288 47345122 51649224 68865632 71017683 73308576 94690244 103298448 142035366 189380488 206596896 284070732 378760976 568141464 757521952 1136282928 2272565856