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2220525533421 = 33131011311493209
BaseRepresentation
bin100000010100000001101…
…000101011100011101101
321212021120020112200001000
4200110001220223203231
5242340114014032141
64420032332310513
7316266456416256
oct40240150534355
97767506480030
102220525533421
117867a0858048
122ba429612439
131315190b31a0
147968c977b2d
153cb633cb5b6
hex20501a2b8ed

2220525533421 has 128 divisors (see below), whose sum is σ = 3630432960000. Its totient is φ = 1333193472000.

The previous prime is 2220525533419. The next prime is 2220525533431. The reversal of 2220525533421 is 1243355250222.

It is a happy number.

2220525533421 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 52 + 553 + 34 + 21 = 666.

It is not a de Polignac number, because 2220525533421 - 21 = 2220525533419 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220525533411) 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 127 ways as a sum of consecutive naturals, for example, 691966465 + ... + 691969673.

It is an arithmetic number, because the mean of its divisors is an integer number (28362757500).

Almost surely, 22220525533421 is an apocalyptic number.

It is an amenable number.

2220525533421 is a deficient number, since it is larger than the sum of its proper divisors (1409907426579).

2220525533421 is a wasteful number, since it uses less digits than its factorization.

2220525533421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 2220525533421 in words is "two trillion, two hundred twenty billion, five hundred twenty-five million, five hundred thirty-three thousand, four hundred twenty-one".

Divisors: 1 3 9 13 27 39 101 117 131 149 303 351 393 447 909 1179 1313 1341 1703 1937 2727 3209 3537 3939 4023 5109 5811 9627 11817 13231 15049 15327 17433 19519 28881 35451 39693 41717 45147 45981 52299 58557 86643 119079 125151 135441 172003 175671 195637 253747 324109 357237 375453 406323 420379 478141 516009 527013 586911 761241 972327 1126359 1261137 1434423 1548027 1760733 1971419 2283723 2916981 3783411 4213417 4303269 4644081 5282199 5464927 5914257 6215833 6851169 8750943 11350233 12640251 12909807 16394781 17742771 18647499 25628447 37920753 42458279 48292241 49184343 53228313 55942497 62636471 76885341 113762259 127374837 144876723 147553029 167827491 187909413 230656023 382124511 434630169 551957627 563728239 627799133 691968069 814274123 1146373533 1303890507 1655872881 1691184717 1883397399 2442822369 4967618643 5650192197 6326283571 7328467107 14902855929 16950576591 18978850713 21985401321 56936552139 82241686423 170809656417 246725059269 740175177807 2220525533421