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221453532534240 = 25325563273156617
BaseRepresentation
bin110010010110100100101011…
…001001000001010111100000
31002001002202021102222212022100
4302112210223021001113200
5213011243313312043430
62102554203130210400
764434326660124036
oct6226445311012740
91061082242885270
10221453532534240
116461aa08919a06
1220a07217b83a00
139674c94a37436
143c985a0008556
151a907abb11960
hexc9692b2415e0

221453532534240 has 144 divisors (see below), whose sum is σ = 757052474160528. Its totient is φ = 58949382985728.

The previous prime is 221453532534149. The next prime is 221453532534251. The reversal of 221453532534240 is 42435235354122.

It is a happy number.

221453532534240 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 5 + 353 + 2 + 53 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135767589 + ... + 137389028.

It is an arithmetic number, because the mean of its divisors is an integer number (5257308848337).

Almost surely, 2221453532534240 is an apocalyptic number.

221453532534240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221453532534240 is an abundant number, since it is smaller than the sum of its proper divisors (535598941626288).

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

221453532534240 is a wasteful number, since it uses less digits than its factorization.

221453532534240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273157201 (or 273157190 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

Adding to 221453532534240 its reverse (42435235354122), we get a palindrome (263888767888362).

The spelling of 221453532534240 in words is "two hundred twenty-one trillion, four hundred fifty-three billion, five hundred thirty-two million, five hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 563 720 1126 1440 1689 2252 2815 3378 4504 5067 5630 6756 8445 9008 10134 11260 13512 16890 18016 20268 22520 25335 27024 33780 40536 45040 50670 54048 67560 81072 90080 101340 135120 162144 202680 270240 405360 810720 273156617 546313234 819469851 1092626468 1365783085 1638939702 2185252936 2458409553 2731566170 3277879404 4097349255 4370505872 4916819106 5463132340 6555758808 8194698510 8741011744 9833638212 10926264680 12292047765 13111517616 16389397020 19667276424 21852529360 24584095530 26223035232 32778794040 39334552848 43705058720 49168191060 65557588080 78669105696 98336382120 131115176160 153787175371 196672764240 307574350742 393345528480 461361526113 615148701484 768935876855 922723052226 1230297402968 1384084578339 1537871753710 1845446104452 2306807630565 2460594805936 2768169156678 3075743507420 3690892208904 4613615261130 4921189611872 5536338313356 6151487014840 6920422891695 7381784417808 9227230522260 11072676626712 12302974029680 13840845783390 14763568835616 18454461044520 22145353253424 24605948059360 27681691566780 36908922089040 44290706506848 55363383133560 73817844178080 110726766267120 221453532534240