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223400223342 = 233971491971453
BaseRepresentation
bin1101000000001110110…
…0001110001001101110
3210100122010221012022000
43100003230032021232
512130010424121332
6250343442033130
722066031365332
oct3200354161156
9710563835260
10223400223342
118681a66935a
12373683487a6
13180b329a48a
14ab53bd17c2
155c2798db7c
hex3403b0e26e

223400223342 has 128 divisors (see below), whose sum is σ = 507841488000. Its totient is φ = 72782696448.

The previous prime is 223400223337. The next prime is 223400223359. The reversal of 223400223342 is 243322004322.

It is a happy number.

223400223342 is a `hidden beast` number, since 2 + 2 + 3 + 400 + 223 + 34 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 153750288 + ... + 153751740.

It is an arithmetic number, because the mean of its divisors is an integer number (3967511625).

Almost surely, 2223400223342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223400223342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253920744000).

223400223342 is an abundant number, since it is smaller than the sum of its proper divisors (284441264658).

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

223400223342 is a wasteful number, since it uses less digits than its factorization.

223400223342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 223400223342 its reverse (243322004322), we get a palindrome (466722227664).

The spelling of 223400223342 in words is "two hundred twenty-three billion, four hundred million, two hundred twenty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 97 149 194 197 291 298 394 447 582 591 873 894 1182 1341 1453 1746 1773 2619 2682 2906 3546 4023 4359 5238 5319 8046 8718 10638 13077 14453 19109 26154 28906 29353 38218 39231 43359 57327 58706 78462 86718 88059 114654 130077 140941 171981 176118 216497 260154 264177 281882 286241 343962 390231 422823 432994 515943 528354 572482 649491 780462 792531 845646 858723 1031886 1268469 1298982 1585062 1717446 1948473 2536938 2576169 2847241 3805407 3896946 5152338 5694482 5845419 7610814 7728507 8541723 11690838 15457014 17083446 21000209 25625169 27765377 42000418 42649909 51250338 55530754 63000627 76875507 83296131 85299818 126001254 127949727 153751014 166592262 189001881 249888393 255899454 378003762 383849181 499776786 567005643 749665179 767698362 1134011286 1151547543 1499330358 2303095086 4137041173 8274082346 12411123519 24822247038 37233370557 74466741114 111700111671 223400223342