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22211729296 = 24192372532
BaseRepresentation
bin10100101011111011…
…000001011110010000
32010022222021202110121
4110223323001132100
5330442200314141
614112014240024
71414266404161
oct245373013620
963288252417
1022211729296
119468a3aa79
12437a7b6014
13212c984cb3
141109d37768
158a00031d1
hex52bec1790

22211729296 has 135 divisors (see below), whose sum is σ = 47577554451. Its totient is φ = 10043834112.

The previous prime is 22211729291. The next prime is 22211729299. The reversal of 22211729296 is 69292711222.

The square root of 22211729296 is 149036.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8866858896 + 13344870400 = 94164^2 + 115520^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22211729291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 419089206 + ... + 419089258.

Almost surely, 222211729296 is an apocalyptic number.

22211729296 is the 149036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22211729296

22211729296 is an abundant number, since it is smaller than the sum of its proper divisors (25365825155).

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

22211729296 is an equidigital number, since it uses as much as digits as its factorization.

22211729296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 111 counting only the distinct ones).

The product of its digits is 108864, while the sum is 43.

The spelling of 22211729296 in words is "twenty-two billion, two hundred eleven million, seven hundred twenty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 19 37 38 53 74 76 106 148 152 212 296 304 361 424 592 703 722 848 1007 1369 1406 1444 1961 2014 2738 2809 2812 2888 3922 4028 5476 5618 5624 5776 7844 8056 10952 11236 11248 13357 15688 16112 19133 21904 22472 26011 26714 31376 37259 38266 44944 52022 53371 53428 72557 74518 76532 103933 104044 106742 106856 145114 149036 153064 207866 208088 213484 213712 290228 298072 306128 415732 416176 426968 494209 580456 596144 707921 831464 853936 988418 1014049 1160912 1378583 1415842 1662928 1974727 1976836 2028098 2757166 2831684 3845521 3949454 3953672 4056196 5514332 5663368 7691042 7898908 7907344 8112392 11028664 11326736 15382084 15797816 16224784 22057328 26193077 30764168 31595632 37519813 52386154 61528336 73064899 75039626 104772308 146129798 150079252 209544616 292259596 300158504 419089232 584519192 600317008 1169038384 1388233081 2776466162 5552932324 11105864648 22211729296