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221392898853744 = 243371523280329201
BaseRepresentation
bin110010010101101100001101…
…000101111000101101110000
31002000212221202210000202100010
4302111230031011320231300
5213004300124101304434
62102510254344054520
764430052264262242
oct6225541505705560
91060787683022303
10221392898853744
11645a722377a362
12209b7515a64440
13966c350c1b397
143c9568b322092
151a8de0d93b9e9
hexc95b0d178b70

221392898853744 has 160 divisors (see below), whose sum is σ = 588004777499904. Its totient is φ = 71727900364800.

The previous prime is 221392898853739. The next prime is 221392898853757. The reversal of 221392898853744 is 447358898293122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7581674344 + ... + 7581703544.

Almost surely, 2221392898853744 is an apocalyptic number.

221392898853744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221392898853744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294002388749952).

221392898853744 is an abundant number, since it is smaller than the sum of its proper divisors (366611878646160).

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

221392898853744 is a wasteful number, since it uses less digits than its factorization.

221392898853744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33575 (or 33569 counting only the distinct ones).

The product of its digits is 1672151040, while the sum is 75.

The spelling of 221392898853744 in words is "two hundred twenty-one trillion, three hundred ninety-two billion, eight hundred ninety-eight million, eight hundred fifty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1523 1776 2803 3046 4569 5606 6092 8409 9138 11212 12184 16818 18276 22424 24368 29201 33636 36552 44848 56351 58402 67272 73104 87603 103711 112702 116804 134544 169053 175206 207422 225404 233608 311133 338106 350412 414844 450808 467216 622266 676212 700824 829688 901616 1080437 1244532 1352424 1401648 1659376 2160874 2489064 2704848 3241311 4268969 4321748 4978128 6482622 8537938 8643496 12806907 12965244 17075876 17286992 25613814 25930488 34151752 44473123 51227628 51860976 68303504 81850403 88946246 102455256 133419369 157951853 163700806 177892492 204910512 245551209 266838738 315903706 327401612 355784984 473855559 491102418 533677476 631807412 654803224 711569968 947711118 982204836 1067354952 1263614824 1309606448 1645505551 1895422236 1964409672 2134709904 2527229648 3028464911 3291011102 3790844472 3928819344 4936516653 6056929822 6582022204 7581688944 9085394733 9873033306 12113859644 13164044408 18170789466 19746066612 24227719288 26328088816 36341578932 39492133224 48455438576 72683157864 78984266448 124658163769 145366315728 249316327538 373974491307 498632655076 747948982614 997265310152 1495897965228 1994530620304 2991795930456 4612352059453 5983591860912 9224704118906 13837056178359 18449408237812 27674112356718 36898816475624 55348224713436 73797632951248 110696449426872 221392898853744