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221334204113424 = 24334718160226601
BaseRepresentation
bin110010010100110101100010…
…100111001110001000010000
31002000200100021020112000021000
4302110311202213032020100
5213002314422223112144
62102423310224102000
764422603624232323
oct6224654247161020
91060610236460230
10221334204113424
1164584344062206
12209a8075164900
139666958a1b1cc
143c928bdd5c7ba
151a8c625ab7769
hexc94d629ce210

221334204113424 has 160 divisors (see below), whose sum is σ = 652413097889280. Its totient is φ = 71809379712000.

The previous prime is 221334204113333. The next prime is 221334204113543. The reversal of 221334204113424 is 424311402433122.

221334204113424 is a `hidden beast` number, since 2 + 2 + 1 + 334 + 204 + 113 + 4 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26438277 + ... + 33788324.

It is an arithmetic number, because the mean of its divisors is an integer number (4077581861808).

Almost surely, 2221334204113424 is an apocalyptic number.

221334204113424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221334204113424 is an abundant number, since it is smaller than the sum of its proper divisors (431078893775856).

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

221334204113424 is a wasteful number, since it uses less digits than its factorization.

221334204113424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60226846 (or 60226834 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 221334204113424 its reverse (424311402433122), we get a palindrome (645645606546546).

The spelling of 221334204113424 in words is "two hundred twenty-one trillion, three hundred thirty-four billion, two hundred four million, one hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 94 108 141 144 181 188 216 282 362 376 423 432 543 564 724 752 846 1086 1128 1269 1448 1629 1692 2172 2256 2538 2896 3258 3384 4344 4887 5076 6516 6768 8507 8688 9774 10152 13032 17014 19548 20304 25521 26064 34028 39096 51042 68056 76563 78192 102084 136112 153126 204168 229689 306252 408336 459378 612504 918756 1225008 1837512 3675024 60226601 120453202 180679803 240906404 361359606 481812808 542039409 722719212 963625616 1084078818 1445438424 1626118227 2168157636 2830650247 2890876848 3252236454 4336315272 5661300494 6504472908 8491950741 8672630544 10901014781 11322600988 13008945816 16983901482 21802029562 22645201976 25475852223 26017891632 32703044343 33967802964 43604059124 45290403952 50951704446 65406088686 67935605928 76427556669 87208118248 98109133029 101903408892 130812177372 135871211856 152855113338 174416236496 196218266058 203806817784 261624354744 294327399087 305710226676 392436532116 407613635568 512347694707 523248709488 588654798174 611420453352 784873064232 1024695389414 1177309596348 1222840906704 1537043084121 1569746128464 2049390778828 2354619192696 3074086168242 4098781557656 4611129252363 4709238385392 6148172336484 8197563115312 9222258504726 12296344672968 13833387757089 18444517009452 24592689345936 27666775514178 36889034018904 55333551028356 73778068037808 110667102056712 221334204113424