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2228579856 = 243237616857
BaseRepresentation
bin1000010011010101…
…0110111000010000
312202022110120211200
42010311112320100
514031004023411
61005050111200
7106140421236
oct20465267020
95668416750
102228579856
11a43a80038
1252241b500
1329692a109
14171d9a956
15d09b4e56
hex84d56e10

2228579856 has 120 divisors (see below), whose sum is σ = 6511451544. Its totient is φ = 710830080.

The previous prime is 2228579851. The next prime is 2228579867. The reversal of 2228579856 is 6589758222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2250000 + 2226329856 = 1500^2 + 47184^2 .

It is not an unprimeable number, because it can be changed into a prime (2228579851) by changing a digit.

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, 321580 + ... + 328436.

Almost surely, 22228579856 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 2228579856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255725772).

2228579856 is an abundant number, since it is smaller than the sum of its proper divisors (4282871688).

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

2228579856 is a wasteful number, since it uses less digits than its factorization.

2228579856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6969 (or 6960 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 2228579856 is about 47207.8368070387. The cubic root of 2228579856 is about 1306.1991602322.

The spelling of 2228579856 in words is "two billion, two hundred twenty-eight million, five hundred seventy-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 61 72 74 111 122 144 148 183 222 244 296 333 366 444 488 549 592 666 732 888 976 1098 1332 1464 1776 2196 2257 2664 2928 4392 4514 5328 6771 6857 8784 9028 13542 13714 18056 20313 20571 27084 27428 36112 40626 41142 54168 54856 61713 81252 82284 108336 109712 123426 162504 164568 246852 253709 325008 329136 418277 493704 507418 761127 836554 987408 1014836 1254831 1522254 1673108 2029672 2283381 2509662 3044508 3346216 3764493 4059344 4566762 5019324 6089016 6692432 7528986 9133524 10038648 12178032 15057972 15476249 18267048 20077296 30115944 30952498 36534096 46428747 60231888 61904996 92857494 123809992 139286241 185714988 247619984 278572482 371429976 557144964 742859952 1114289928 2228579856