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40221984222 = 23271931217483
BaseRepresentation
bin100101011101011010…
…101100010111011110
310211211010202111121100
4211131122230113132
51124333311443342
630251104413530
72622511140060
oct453532542736
9124733674540
1040221984222
1116070297082
1279663172a6
133a40066184
141d37c73730
1510a6234e4c
hex95d6ac5de

40221984222 has 144 divisors (see below), whose sum is σ = 108336458880. Its totient is φ = 10535352480.

The previous prime is 40221984211. The next prime is 40221984259. The reversal of 40221984222 is 22248912204.

40221984222 is a `hidden beast` number, since 4 + 0 + 221 + 9 + 8 + 422 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2291893 + ... + 2309375.

It is an arithmetic number, because the mean of its divisors is an integer number (752336520).

Almost surely, 240221984222 is an apocalyptic number.

40221984222 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40221984222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54168229440).

40221984222 is an abundant number, since it is smaller than the sum of its proper divisors (68114474658).

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

40221984222 is a wasteful number, since it uses less digits than its factorization.

40221984222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17579 (or 17545 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 40221984222 in words is "forty billion, two hundred twenty-one million, nine hundred eighty-four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 31 38 42 57 62 63 93 114 126 133 171 186 217 266 279 342 399 434 558 589 651 798 961 1178 1197 1302 1767 1922 1953 2394 2883 3534 3906 4123 5301 5766 6727 8246 8649 10602 12369 13454 17298 17483 18259 20181 24738 34966 36518 37107 40362 52449 54777 60543 74214 104898 109554 121086 122381 127813 157347 164331 244762 255626 314694 328662 332177 367143 383439 541973 664354 734286 766878 996531 1083946 1101429 1150317 1625919 1993062 2202858 2300634 2325239 2989593 3251838 3793811 4650478 4877757 5979186 6975717 7587622 9755514 10297487 11381433 13951434 16801163 20594974 20927151 22762866 30892461 33602326 34144299 41854302 50403489 61784922 68288598 72082409 92677383 100806978 117608141 144164818 151210467 185354766 216247227 235216282 302420934 319222097 352824423 432494454 638444194 648741681 705648846 957666291 1058473269 1297483362 1915332582 2116946538 2234554679 2872998873 4469109358 5745997746 6703664037 13407328074 20110992111 40221984222