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224223113340100 = 22527363611027687
BaseRepresentation
bin110010111110111000000011…
…000001010110010011000100
31002101220112001021220021122001
4302332320003001112103010
5213342132414003340400
62112514402022515044
765141404526422000
oct6276700301262304
91071815037807561
10224223113340100
1165498540aa5716
1221193b36b95a84
1398161c20810c4
143d52656c55700
151adc8575a1a6a
hexcbee030564c4

224223113340100 has 144 divisors (see below), whose sum is σ = 567511511660800. Its totient is φ = 76864335609600.

The previous prime is 224223113340043. The next prime is 224223113340131. The reversal of 224223113340100 is 1043311322422.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217668457 + ... + 218696143.

Almost surely, 2224223113340100 is an apocalyptic number.

224223113340100 is a gapful number since it is divisible by the number (20) 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 224223113340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283755755830400).

224223113340100 is an abundant number, since it is smaller than the sum of its proper divisors (343288398320700).

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

224223113340100 is a wasteful number, since it uses less digits than its factorization.

224223113340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034083 (or 1034062 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 224223113340100 its reverse (1043311322422), we get a palindrome (225266424662522).

The spelling of 224223113340100 in words is "two hundred twenty-four trillion, two hundred twenty-three billion, one hundred thirteen million, three hundred forty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 343 350 490 686 700 980 1225 1372 1715 2450 3430 4900 6361 6860 8575 12722 17150 25444 31805 34300 44527 63610 89054 127220 159025 178108 222635 311689 318050 445270 623378 636100 890540 1027687 1113175 1246756 1558445 2055374 2181823 2226350 3116890 4110748 4363646 4452700 5138435 6233780 7193809 7792225 8727292 10276870 10909115 14387618 15584450 20553740 21818230 25692175 28775236 31168900 35969045 43636460 50356663 51384350 54545575 71938090 100713326 102768700 109091150 143876180 179845225 201426652 218182300 251783315 352496641 359690450 503566630 704993282 719380900 1007133260 1258916575 1409986564 1762483205 2517833150 3524966410 5035666300 6537117007 7049932820 8812416025 13074234014 17624832050 26148468028 32685585035 35249664100 45759819049 65371170070 91519638098 130742340140 163427925175 183039276196 228799095245 320318733343 326855850350 457598190490 640637466686 653711700700 915196380980 1143995476225 1281274933372 1601593666715 2242231133401 2287990952450 3203187333430 4484462266802 4575981904900 6406374666860 8007968333575 8968924533604 11211155667005 16015936667150 22422311334010 32031873334300 44844622668020 56055778335025 112111556670050 224223113340100